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232968792 = 23373074517
BaseRepresentation
bin11011110001011…
…01001001011000
3121020101001002210
431320231021120
5434120000132
635041155120
75526126210
oct1570551130
9536331083
10232968792
1110a5609a1
126602baa0
133935b674
1422d25240
15156bcbcc
hexde2d258

232968792 has 64 divisors (see below), whose sum is σ = 667941120. Its totient is φ = 66331008.

The previous prime is 232968787. The next prime is 232968871. The reversal of 232968792 is 297869232.

232968792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 49318 + ... + 53834.

It is an arithmetic number, because the mean of its divisors is an integer number (10436580).

Almost surely, 2232968792 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 232968792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333970560).

232968792 is an abundant number, since it is smaller than the sum of its proper divisors (434972328).

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

232968792 is a wasteful number, since it uses less digits than its factorization.

232968792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4836 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 232968792 is about 15263.3152362126. The cubic root of 232968792 is about 615.3174750565.

The spelling of 232968792 in words is "two hundred thirty-two million, nine hundred sixty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 307 614 921 1228 1842 2149 2456 3684 4298 4517 6447 7368 8596 9034 12894 13551 17192 18068 25788 27102 31619 36136 51576 54204 63238 94857 108408 126476 189714 252952 379428 758856 1386719 2773438 4160157 5546876 8320314 9707033 11093752 16640628 19414066 29121099 33281256 38828132 58242198 77656264 116484396 232968792