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230597832 = 233191573221
BaseRepresentation
bin11011011111010…
…10010011001000
3121001220120202110
431233222103020
5433013112312
634514302320
75500022613
oct1557522310
9531816673
10230597832
11109191623
12652879a0
1338a0b42a
14228a917a
15153a043c
hexdbea4c8

230597832 has 64 divisors (see below), whose sum is σ = 610891200. Its totient is φ = 72334080.

The previous prime is 230597819. The next prime is 230597867. The reversal of 230597832 is 238795032.

230597832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 69982 + ... + 73202.

It is an arithmetic number, because the mean of its divisors is an integer number (9545175).

Almost surely, 2230597832 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 230597832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305445600).

230597832 is an abundant number, since it is smaller than the sum of its proper divisors (380293368).

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

230597832 is a wasteful number, since it uses less digits than its factorization.

230597832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 230597832 is about 15185.4480342201. The cubic root of 230597832 is about 613.2229592921. Note that the first 3 decimals are identical.

The spelling of 230597832 in words is "two hundred thirty million, five hundred ninety-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 157 228 314 456 471 628 942 1256 1884 2983 3221 3768 5966 6442 8949 9663 11932 12884 17898 19326 23864 25768 35796 38652 61199 71592 77304 122398 183597 244796 367194 489592 505697 734388 1011394 1468776 1517091 2022788 3034182 4045576 6068364 9608243 12136728 19216486 28824729 38432972 57649458 76865944 115298916 230597832