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230264832 = 212372677
BaseRepresentation
bin11011011100110…
…01000000000000
3121001021122222010
431232121000000
5432421433312
634503212520
75464135020
oct1556310000
9531248863
10230264832
11108a84416
1265147140
13389229a5
142281da80
151533693c
hexdb99000

230264832 has 104 divisors (see below), whose sum is σ = 701935936. Its totient is φ = 65765376.

The previous prime is 230264803. The next prime is 230264851. The reversal of 230264832 is 238462032.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 230264832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84678 + ... + 87354.

It is an arithmetic number, because the mean of its divisors is an integer number (6749384).

Almost surely, 2230264832 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 230264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350967968).

230264832 is an abundant number, since it is smaller than the sum of its proper divisors (471671104).

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

230264832 is an equidigital number, since it uses as much as digits as its factorization.

230264832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 230264832 is about 15174.4796286397. The cubic root of 230264832 is about 612.9276376096.

The spelling of 230264832 in words is "two hundred thirty million, two hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2677 2688 3072 3584 4096 5354 5376 6144 7168 8031 10708 10752 12288 14336 16062 18739 21416 21504 28672 32124 37478 42832 43008 56217 64248 74956 85664 86016 112434 128496 149912 171328 224868 256992 299824 342656 449736 513984 599648 685312 899472 1027968 1199296 1370624 1798944 2055936 2398592 2741248 3597888 4111872 4797184 5482496 7195776 8223744 9594368 10964992 14391552 16447488 19188736 28783104 32894976 38377472 57566208 76754944 115132416 230264832