230735232 has 384 divisors, whose sum is σ = 855429120. Its totient is φ = 58060800.

The previous prime is 230735231. The next prime is 230735257. The reversal of 230735232 is 232537032.

230735232 is a `hidden beast` number, since 2 + 307 + 352 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 230735196 and 230735205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230735231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249757 + ... + 3249827.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^230735232 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 230735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

230735232 is an abundant number, since it is smaller than the sum of its proper divisors (624693888).

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

230735232 is a wasteful number, since it uses less digits than its factorization.

230735232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 230735232 is about 15189.9714285446. The cubic root of 230735232 is about 613.3447298870.

The spelling of 230735232 in words is "two hundred thirty million, seven hundred thirty-five thousand, two hundred thirty-two".