232 (number)

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

In mathematics

← 231 232 233 →
← 230 231 232 233 234 235 236 237 238 239 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	two hundred thirty-two
Ordinal	232nd (two hundred thirty-second)
Factorization	23 × 29
Prime	no
Greek numeral	ΣΛΒ´
Roman numeral	CCXXXII, ccxxxii
Binary	111010002
Ternary	221213
Senary	10246
Octal	3508
Duodecimal	17412
Hexadecimal	E816

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]