| Revision as of 16:49, 2 July 2023 editCertes (talk | contribs)Extended confirmed users243,573 edits Undid good-faith revision 1162862505 by Dhrm77 (talk): we really need brackets here to indicate text not in the original quote, per Misplaced Pages:Quotations#FormattingTag: Undo← Previous edit | Revision as of 06:23, 24 October 2023 edit undo24.130.145.196 (talk) nTags: Reverted Visual editNext edit → | ||
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| | number = 224 | | number = 224 | ||
| | prime = No | | prime = No | ||
| |cardinal=unk|ordinal=unk|multinal=unk unk|multiplying=8 x 28|Gaussian integer factorization=9, 14, 18, 25, 36, 41, 54, 58, 67, 74, 83, 94, 99, 100, 111, 137, 158, 175, 199, 205, 213, 224}} | |||
| }} | |||
| 224 is a ],<ref>{{Cite OEIS|A005153|name=Practical numbers}}</ref> | 224 is a ],<ref>{{Cite OEIS|A005153|name=Practical numbers}}</ref> | ||
Revision as of 06:23, 24 October 2023
224 (two hundred twenty-four) is the natural number following 223 and preceding 225.
In mathematics
Natural number
| ||||
|---|---|---|---|---|
| ← 220 221 222 223 224 225 226 227 228 229 → ← 0 100 200 300 400 500 600 700 800 900 → | ||||
| Cardinal | unk | |||
| Ordinal | unk | |||
| Factorization | 2 × 7 | |||
| Gaussian integer factorization | 9, 14, 18, 25, 36, 41, 54, 58, 67, 74, 83, 94, 99, 100, 111, 137, 158, 175, 199, 205, 213, 224 | |||
| Prime | No | |||
| Greek numeral | ΣΚΔ´ | |||
| Roman numeral | CCXXIV, ccxxiv | |||
| Binary | 111000002 | |||
| Ternary | 220223 | |||
| Senary | 10126 | |||
| Octal | 3408 | |||
| Duodecimal | 16812 | |||
| Hexadecimal | E016 | |||
224 is a practical number, and a sum of two positive cubes 2 + 6. It is also 2 + 3 + 4 + 5, making it one of the smallest numbers to be the sum of distinct positive cubes in more than one way.
224 is the smallest k with λ(k) = 24, where λ(k) is the Carmichael function.
The mathematician and philosopher Alex Bellos suggested in 2014 that a candidate for the lowest uninteresting number would be 224 because it was, at the time, "the lowest number not to have its own page on Misplaced Pages".
In other areas
In the SHA-2 family of six cryptographic hash functions, the weakest is SHA-224, named because it produces 224-bit hash values. It was defined in this way so that the number of bits of security it provides (half of its output length, 112 bits) would match the key length of two-key Triple DES.
The ancient Phoenician shekel was a standardized measure of silver, equal to 224 grains, although other forms of the shekel employed in other ancient cultures (including the Babylonians and Hebrews) had different measures. Likely not coincidentally, as far as ancient Burma and Thailand, silver was measured in a unit called a tikal, equal to 224 grains.
See also
References
- Sloane, N. J. A. (ed.). "Sequence A005153 (Practical numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- Sloane, N. J. A. (ed.). "Sequence A003325 (Numbers that are the sum of 2 positive cubes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- Sloane, N. J. A. (ed.). "Sequence A003998 (Numbers that are a sum of distinct positive cubes in more than one way)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- Sloane, N. J. A. (ed.). "Sequence A141162 (Smallest k such that lambda(k) = n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- Bellos, Alex (June 2014). The Grapes of Math: How Life Reflects Numbers and Numbers Reflect Life. illus. The Surreal McCoy (1st Simon & Schuster hardcover ed.). N.Y.: Simon & Schuster. pp. 238 & 319 (quoting p. 319). ISBN 978-1-4516-4009-0.
- "FIPS Publication 180-2 (with Change Notice 1): Announcing the Secure Hash Standard (+ Change Notice to Include SHA-224)" (PDF). NIST. February 25, 2004. Retrieved 2023-03-09.
- Housley, R. (September 2004). "RFC 3874: A 224-bit One-way Hash Function: SHA-224". Network Working Group. Retrieved 2023-03-09.
- Bratcher, Robert G. (October 1959). "Weights, Money, Measures and Time". The Bible Translator. 10 (4). {SAGE} Publications: 165–174. doi:10.1177/000608445901000404. S2CID 125756547.
- Cunningham, Alexander (1891). Coins of Ancient India: From the Earliest Times Down to the Seventh Century A.D. London: B. Quaritch. p. 4.
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