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230862924 = 2232172331619
BaseRepresentation
bin11011100001010…
…11000001001100
3121002102001101200
431300223001030
5433100103144
634524105500
75502205515
oct1560530114
9532361350
10230862924
11109352806
1265395290
1338aa1ca6
1422937a0c
1515403c69
hexdc2b04c

230862924 has 72 divisors (see below), whose sum is σ = 620933040. Its totient is φ = 72072192.

The previous prime is 230862911. The next prime is 230862959. The reversal of 230862924 is 429268032.

230862924 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 629 + 24 = 666.

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 23 ways as a sum of consecutive naturals, for example, 141787 + ... + 143405.

It is an arithmetic number, because the mean of its divisors is an integer number (8624070).

Almost surely, 2230862924 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 230862924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310466520).

230862924 is an abundant number, since it is smaller than the sum of its proper divisors (390070116).

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

230862924 is a wasteful number, since it uses less digits than its factorization.

230862924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 230862924 is about 15194.1740150625. The cubic root of 230862924 is about 613.4578534462.

The spelling of 230862924 in words is "two hundred thirty million, eight hundred sixty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 233 306 466 612 699 932 1398 1619 2097 2796 3238 3961 4194 4857 6476 7922 8388 9714 11883 14571 15844 19428 23766 27523 29142 35649 47532 55046 58284 71298 82569 110092 142596 165138 247707 330276 377227 495414 754454 990828 1131681 1508908 2263362 3395043 4526724 6412859 6790086 12825718 13580172 19238577 25651436 38477154 57715731 76954308 115431462 230862924