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230044896 = 25322334729
BaseRepresentation
bin11011011011000…
…11010011100000
3121000212111021100
431231203103200
5432342414041
634454354400
75462230554
oct1555432340
9530774240
10230044896
11108944154
126505ba00
1338876853
14227a3864
15152e16b6
hexdb634e0

230044896 has 72 divisors (see below), whose sum is σ = 682652880. Its totient is φ = 73345536.

The previous prime is 230044853. The next prime is 230044921. The reversal of 230044896 is 698440032.

It is a happy number.

230044896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230044896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10741 + ... + 23988.

It is an arithmetic number, because the mean of its divisors is an integer number (9481290).

Almost surely, 2230044896 is an apocalyptic number.

It is an amenable number.

230044896 is an abundant number, since it is smaller than the sum of its proper divisors (452607984).

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

230044896 is a wasteful number, since it uses less digits than its factorization.

230044896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34768 (or 34757 counting only the distinct ones).

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

The square root of 230044896 is about 15167.2309931642. The cubic root of 230044896 is about 612.7324307922.

The spelling of 230044896 in words is "two hundred thirty million, forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 34729 69458 104187 138916 208374 277832 312561 416748 555664 625122 798767 833496 1111328 1250244 1597534 1666992 2396301 2500488 3195068 3333984 4792602 5000976 6390136 7188903 9585204 10001952 12780272 14377806 19170408 25560544 28755612 38340816 57511224 76681632 115022448 230044896