232 (number)

Natural number From Wikipedia, the free encyclopedia

232 (two hundred [and] thirty-two) is the natural number following 231 and preceding 233.

In mathematics

Quick facts ← 231 232 233 →, Cardinal ...
231 232 233
Cardinaltwo hundred thirty-two
Ordinal232nd
(two hundred thirty-second)
Factorization23 × 29
Primeno
Divisors1, 2, 4, 8, 29, 58, 116, 232
Greek numeralΣΛΒ´
Roman numeralCCXXXII, ccxxxii
Binary111010002
Ternary221213
Senary10246
Octal3508
Duodecimal17412
HexadecimalE816
Close

232 is both a central polygonal number[1] and a cake number.[2] It is both a decagonal number[3] and a centered 11-gonal number.[4] It is also a refactorable number,[5] a Motzkin sum,[6] an idoneal number,[7] a Riordan number and a noncototient.[8]

232 is a telephone number: in a system of seven telephone users, there are 232 different ways of pairing up some of the users.[9][10] There are also exactly 232 different eight-vertex connected indifference graphs, and 232 bracelets with eight beads of one color and seven of another.[11] Because this number has the form 232 = 44 4!, it follows that there are exactly 232 different functions from a set of four elements to a proper subset of the same set.[12]

References

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