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228 (number)

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228 (two hundred twenty-eight) is the natural number following 227 and preceding 229.

In mathematics

Natural number
← 227 228 229 →
← 220 221 222 223 224 225 226 227 228 229 → ← 0 100 200 300 400 500 600 700 800 900 →
Cardinaltwo hundred twenty-eight
Ordinal228th
(two hundred twenty-eighth)
Factorization2 × 3 × 19
Primeno
Greek numeralΣΚΗ´
Roman numeralCCXXVIII, ccxxviii
Binary111001002
Ternary221103
Senary10206
Octal3448
Duodecimal17012
HexadecimalE416

228 is a refactorable number and a practical number. There are 228 matchings in a ladder graph with five rungs. 228 is the smallest even number n such that the numerator of the nth Bernoulli number is divisible by a nontrivial square number that is relatively prime to n.

The binary form of 228 contains all the two digit binary numbers in sequence from highest to lowest (11 10 01 00).

References

  1. Sloane, N. J. A. (ed.). "Sequence A033950 (Refactorable numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "Sequence A005153 (Practical numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "Sequence A030186 (a(n) = 3a(n-1) + a(n-2) - a(n-3))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. Sloane, N. J. A. (ed.). "Sequence A090943 (Even numbers n such that N(n) is divisible by a nontrivial square, m^2, say and GCD(n,m)=1, where N(n) is the numerator of the Bernoulli number B(n))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
Integers
−1
0s
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  •  9 
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