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232912940 = 225134383251
BaseRepresentation
bin11011110000111…
…11100000101100
3121020021012111012
431320133200230
5434111203230
635040044352
75525504321
oct1570374054
9536235435
10232912940
1110a522a37
12660036b8
133933c110
1422d0cb48
15156ab395
hexde1f82c

232912940 has 96 divisors (see below), whose sum is σ = 547658496. Its totient is φ = 82656000.

The previous prime is 232912921. The next prime is 232912961. The reversal of 232912940 is 49219232.

It is a junction number, because it is equal to n+sod(n) for n = 232912897 and 232912906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927815 + ... + 928065.

It is an arithmetic number, because the mean of its divisors is an integer number (5704776).

Almost surely, 2232912940 is an apocalyptic number.

232912940 is a gapful number since it is divisible by the number (20) 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 232912940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273829248).

232912940 is an abundant number, since it is smaller than the sum of its proper divisors (314745556).

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

232912940 is a wasteful number, since it uses less digits than its factorization.

232912940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 232912940 is about 15261.4855109193. The cubic root of 232912940 is about 615.2682990015.

The spelling of 232912940 in words is "two hundred thirty-two million, nine hundred twelve thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 83 86 130 166 172 215 251 260 332 415 430 502 559 830 860 1004 1079 1118 1255 1660 2158 2236 2510 2795 3263 3569 4316 5020 5395 5590 6526 7138 10790 10793 11180 13052 14276 16315 17845 20833 21580 21586 32630 35690 41666 43172 46397 53965 65260 71380 83332 92794 104165 107930 140309 185588 208330 215860 231985 270829 280618 416660 463970 541658 561236 701545 895819 927940 1083316 1354145 1403090 1791638 2708290 2806180 3583276 4479095 5416580 8958190 11645647 17916380 23291294 46582588 58228235 116456470 232912940