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230545104 = 24316212963
BaseRepresentation
bin11011011110111…
…01011011010000
3121001210220102120
431233131123100
5433004420404
634513214240
75466413106
oct1557353320
9531726376
10230545104
11109155a49
1265261380
13389c042a
1422893c76
151538e9d9
hexdbdd6d0

230545104 has 40 divisors (see below), whose sum is σ = 596143392. Its totient is φ = 76775040.

The previous prime is 230545103. The next prime is 230545121. The reversal of 230545104 is 401545032.

230545104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230545103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76327 + ... + 79289.

Almost surely, 2230545104 is an apocalyptic number.

230545104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230545104 is an abundant number, since it is smaller than the sum of its proper divisors (365598288).

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

230545104 is a wasteful number, since it uses less digits than its factorization.

230545104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 230545104 is about 15183.7117991616. The cubic root of 230545104 is about 613.1762163187.

The spelling of 230545104 in words is "two hundred thirty million, five hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1621 2963 3242 4863 5926 6484 8889 9726 11852 12968 17778 19452 23704 25936 35556 38904 47408 71112 77808 142224 4803023 9606046 14409069 19212092 28818138 38424184 57636276 76848368 115272552 230545104