230033568 has 96 divisors (see below), whose sum is σ = 636854400. Its totient is φ = 72590336.

The previous prime is 230033567. The next prime is 230033569. The reversal of 230033568 is 865330032.

230033568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230033567) and next prime (230033569).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (230033563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146773 + ... + 148331.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^230033568 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 230033568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

230033568 is an abundant number, since it is smaller than the sum of its proper divisors (406820832).

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

230033568 is a wasteful number, since it uses less digits than its factorization.

230033568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 230033568 is about 15166.8575519123. The cubic root of 230033568 is about 612.7223731223.

The spelling of 230033568 in words is "two hundred thirty million, thirty-three thousand, five hundred sixty-eight".