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232704264 = 233136112227
BaseRepresentation
bin11011101111011…
…00100100001000
3121012212121020110
431313230210020
5434033014024
635031354320
75523645042
oct1567544410
9535777213
10232704264
1110a3a0181
1265b229a0
1339298140
1422c96a92
1515669629
hexddec908

232704264 has 64 divisors (see below), whose sum is σ = 636834240. Its totient is φ = 70421760.

The previous prime is 232704257. The next prime is 232704299. The reversal of 232704264 is 462407232.

232704264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12919 + ... + 25145.

It is an arithmetic number, because the mean of its divisors is an integer number (9950535).

Almost surely, 2232704264 is an apocalyptic number.

232704264 is a gapful number since it is divisible by the number (24) 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 232704264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318417120).

232704264 is an abundant number, since it is smaller than the sum of its proper divisors (404129976).

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

232704264 is a wasteful number, since it uses less digits than its factorization.

232704264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 232704264 is about 15254.6472918911. The cubic root of 232704264 is about 615.0844962891.

The spelling of 232704264 in words is "two hundred thirty-two million, seven hundred four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 12227 19032 24454 36681 48908 73362 97816 146724 158951 293448 317902 476853 635804 745847 953706 1271608 1491694 1907412 2237541 2983388 3814824 4475082 5966776 8950164 9696011 17900328 19392022 29088033 38784044 58176066 77568088 116352132 232704264