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242 (two hundred forty-two) is the natural number following 241 and preceding 243.

242 is the smallest integer to start a run of four consecutive integers with the same number of divisors.

242 is a nontotient since there is no integer with 242 coprimes below it.

242 is a palindrome.

242 is the number of parallelogram polyominoes with 8 cells.

242 is the difference between 355 and 113, two numbers used in an approximation of pi,

${\displaystyle {\frac {355}{113}}=3.14159292035\ldots }$

(This fraction is slightly larger than ${\displaystyle \pi }$, by a factor of around ${\displaystyle 0.000000266764\dots }$)

242 is the sum of elements in a 5-orthoplex: 32 polychora, 80 cells, 80 faces, 40 edges, and 10 vertices.

References

1. R. K. Guy Unsolved Problems in Number Theory, section B18.
2. D. Wells, The Penguin Dictionary of Curious and Interesting Numbers, Penguin Books, NY, 1986: 147, 176.
3. Sloane, N. J. A. (ed.). "Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

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