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230104776 = 233113723557
BaseRepresentation
bin11011011011100…
…01111011001000
3121000222112102010
431231301323020
5432401323101
634455535520
75462600256
oct1555617310
9530875363
10230104776
11108985140
126508a5a0
1338897b95
14227bb5d6
15153042d6
hexdb71ec8

230104776 has 64 divisors (see below), whose sum is σ = 644546880. Its totient is φ = 67841280.

The previous prime is 230104769. The next prime is 230104799. The reversal of 230104776 is 677401032.

230104776 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, 2011 + ... + 21546.

It is an arithmetic number, because the mean of its divisors is an integer number (10071045).

Almost surely, 2230104776 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 230104776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322273440).

230104776 is an abundant number, since it is smaller than the sum of its proper divisors (414442104).

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

230104776 is a wasteful number, since it uses less digits than its factorization.

230104776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23614 (or 23610 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 230104776 is about 15169.2048572099. The cubic root of 230104776 is about 612.7855903212.

The spelling of 230104776 in words is "two hundred thirty million, one hundred four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 23557 47114 70671 94228 141342 188456 259127 282684 518254 565368 777381 871609 1036508 1554762 1743218 2073016 2614827 3109524 3486436 5229654 6219048 6972872 9587699 10459308 19175398 20918616 28763097 38350796 57526194 76701592 115052388 230104776