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232057764 = 223323103907
BaseRepresentation
bin11011101010011…
…10101110100100
3121011122202102000
431311032232210
5433401322024
635005445300
75515313151
oct1565165644
9534582360
10232057764
11109a99484
1265870830
13390ccab3
1422b69228
151558ccc9
hexdd4eba4

232057764 has 96 divisors (see below), whose sum is σ = 634583040. Its totient is φ = 73190304.

The previous prime is 232057757. The next prime is 232057781. The reversal of 232057764 is 467750232.

It is a happy number.

232057764 is a `hidden beast` number, since 2 + 3 + 20 + 577 + 64 = 666.

232057764 is digitally balanced in base 3, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255399 + ... + 256305.

It is an arithmetic number, because the mean of its divisors is an integer number (6610240).

Almost surely, 2232057764 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 232057764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317291520).

232057764 is an abundant number, since it is smaller than the sum of its proper divisors (402525276).

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

232057764 is a wasteful number, since it uses less digits than its factorization.

232057764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 232057764 is about 15233.4422899094. The cubic root of 232057764 is about 614.5143578332.

The spelling of 232057764 in words is "two hundred thirty-two million, fifty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 103 108 138 206 207 276 309 412 414 618 621 828 907 927 1236 1242 1814 1854 2369 2484 2721 2781 3628 3708 4738 5442 5562 7107 8163 9476 10884 11124 14214 16326 20861 21321 24489 28428 32652 41722 42642 48978 62583 63963 83444 85284 93421 97956 125166 127926 186842 187749 250332 255852 280263 373684 375498 560526 563247 750996 840789 1121052 1126494 1681578 2148683 2252988 2522367 3363156 4297366 5044734 6446049 8594732 10089468 12892098 19338147 25784196 38676294 58014441 77352588 116028882 232057764