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232133076 = 223271078609
BaseRepresentation
bin11011101011000…
…01000111010100
3121011210120201100
431311201013110
5433411224301
635011230100
75516045550
oct1565410724
9534716640
10232133076
1110a04001a
12658a8330
1339128166
1422b88860
15155a5286
hexdd611d4

232133076 has 72 divisors (see below), whose sum is σ = 676952640. Its totient is φ = 65696256.

The previous prime is 232133071. The next prime is 232133101. The reversal of 232133076 is 670331232.

232133076 is a `hidden beast` number, since 2 + 321 + 330 + 7 + 6 = 666.

232133076 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 not an unprimeable number, because it can be changed into a prime (232133071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22660 + ... + 31268.

It is an arithmetic number, because the mean of its divisors is an integer number (9402120).

Almost surely, 2232133076 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 232133076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338476320).

232133076 is an abundant number, since it is smaller than the sum of its proper divisors (444819564).

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

232133076 is a wasteful number, since it uses less digits than its factorization.

232133076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8733 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 232133076 is about 15235.9140191851. The cubic root of 232133076 is about 614.5808287825.

The spelling of 232133076 in words is "two hundred thirty-two million, one hundred thirty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8609 8988 13482 17218 25827 26964 34436 51654 60263 77481 103308 120526 154962 180789 241052 309924 361578 542367 723156 921163 1084734 1842326 2169468 2763489 3684652 5526978 6448141 8290467 11053956 12896282 16580934 19344423 25792564 33161868 38688846 58033269 77377692 116066538 232133076