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228031232 = 2811136229
BaseRepresentation
bin11011001011101…
…11101100000000
3120220002012001012
431211313230000
5431333444412
634343300052
75436143042
oct1545675400
9526065035
10228031232
11107799270
126444a628
1338320130
14223dba92
1515044c22
hexd977b00

228031232 has 72 divisors (see below), whose sum is σ = 534833040. Its totient is φ = 95662080.

The previous prime is 228031229. The next prime is 228031247. The reversal of 228031232 is 232130822.

228031232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 228031198 and 228031207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33494 + ... + 39722.

Almost surely, 2228031232 is an apocalyptic number.

228031232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267416520).

228031232 is an abundant number, since it is smaller than the sum of its proper divisors (306801808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228031232 is a wasteful number, since it uses less digits than its factorization.

228031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 228031232 is about 15100.7030299917. The cubic root of 228031232 is about 610.9393678734.

The spelling of 228031232 in words is "two hundred twenty-eight million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 2288 2816 3328 4576 6229 9152 12458 18304 24916 36608 49832 68519 80977 99664 137038 161954 199328 274076 323908 398656 548152 647816 797312 890747 1096304 1295632 1594624 1781494 2192608 2591264 3562988 4385216 5182528 7125976 8770432 10365056 14251952 17540864 20730112 28503904 57007808 114015616 228031232