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230681892 = 223729281337
BaseRepresentation
bin11011011111111…
…10110100100100
3121002001212001210
431233332310210
5433023310032
634520151420
75500522650
oct1557766444
9532055053
10230681892
111092397a1
1265308570
1338a3a77c
14228cba60
15153ba2cc
hexdbfed24

230681892 has 96 divisors (see below), whose sum is σ = 640523520. Its totient is φ = 63221760.

The previous prime is 230681837. The next prime is 230681903. The reversal of 230681892 is 298186032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 230681892.

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, 684348 + ... + 684684.

It is an arithmetic number, because the mean of its divisors is an integer number (6672120).

Almost surely, 2230681892 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 230681892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320261760).

230681892 is an abundant number, since it is smaller than the sum of its proper divisors (409841628).

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

230681892 is a wasteful number, since it uses less digits than its factorization.

230681892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 230681892 is about 15188.2155633899. The cubic root of 230681892 is about 613.2974631143.

The spelling of 230681892 in words is "two hundred thirty million, six hundred eighty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 281 337 348 406 562 609 674 812 843 1011 1124 1218 1348 1686 1967 2022 2359 2436 3372 3934 4044 4718 5901 7077 7868 8149 9436 9773 11802 14154 16298 19546 23604 24447 28308 29319 32596 39092 48894 57043 58638 68411 94697 97788 114086 117276 136822 171129 189394 205233 228172 273644 284091 342258 378788 410466 568182 662879 684516 820932 1136364 1325758 1988637 2651516 2746213 3977274 5492426 7954548 8238639 10984852 16477278 19223491 32954556 38446982 57670473 76893964 115340946 230681892