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230085408 = 2537342389
BaseRepresentation
bin11011011011011…
…01001100100000
3121000221112211210
431231231030200
5432400213113
634455310120
75462456640
oct1555551440
9530845753
10230085408
11108971633
126507b340
133888c117
14227b4520
15152ed6c3
hexdb6d320

230085408 has 48 divisors (see below), whose sum is σ = 690258240. Its totient is φ = 65738496.

The previous prime is 230085377. The next prime is 230085409. The reversal of 230085408 is 804580032.

230085408 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 (48).

It is not an unprimeable number, because it can be changed into a prime (230085409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170523 + ... + 171866.

It is an arithmetic number, because the mean of its divisors is an integer number (14380380).

Almost surely, 2230085408 is an apocalyptic number.

230085408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230085408 is an abundant number, since it is smaller than the sum of its proper divisors (460172832).

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

230085408 is a wasteful number, since it uses less digits than its factorization.

230085408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342409 (or 342401 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 230085408 is about 15168.5664451193. The cubic root of 230085408 is about 612.7683970459.

The spelling of 230085408 in words is "two hundred thirty million, eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 342389 684778 1027167 1369556 2054334 2396723 2739112 4108668 4793446 5478224 7190169 8217336 9586892 10956448 14380338 16434672 19173784 28760676 32869344 38347568 57521352 76695136 115042704 230085408