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232664076 = 22343112309
BaseRepresentation
bin11011101111000…
…10110000001100
3121012210120010000
431313202300030
5434030222301
635030444300
75523416631
oct1567426014
9535716100
10232664076
1110a372a67
1265b03690
1339282a68
1422c86188
151565c786
hexdde2c0c

232664076 has 60 divisors (see below), whose sum is σ = 610449840. Its totient is φ = 77271840.

The previous prime is 232664039. The next prime is 232664077. The reversal of 232664076 is 670466232.

It is a happy number.

232664076 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 640 + 7 + 6 = 666.

232664076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 232664076.

It is not an unprimeable number, because it can be changed into a prime (232664077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99610 + ... + 101918.

It is an arithmetic number, because the mean of its divisors is an integer number (10174164).

Almost surely, 2232664076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232664076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305224920).

232664076 is an abundant number, since it is smaller than the sum of its proper divisors (377785764).

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

232664076 is a wasteful number, since it uses less digits than its factorization.

232664076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 232664076 is about 15253.3299970859. The cubic root of 232664076 is about 615.0490859096.

The spelling of 232664076 in words is "two hundred thirty-two million, six hundred sixty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 311 324 622 933 1244 1866 2309 2799 3732 4618 5598 6927 8397 9236 11196 13854 16794 20781 25191 27708 33588 41562 50382 62343 83124 100764 124686 187029 249372 374058 718099 748116 1436198 2154297 2872396 4308594 6462891 8617188 12925782 19388673 25851564 38777346 58166019 77554692 116332038 232664076