230152320 has 256 divisors, whose sum is σ = 859248000. Its totient is φ = 58060800.

The previous prime is 230152319. The next prime is 230152331. The reversal of 230152320 is 23251032.

230152320 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 230152293 and 230152302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327970 + ... + 328670.

Almost surely, 2^230152320 is an apocalyptic number.

230152320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429624000).

230152320 is an abundant number, since it is smaller than the sum of its proper divisors (629095680).

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

230152320 is a wasteful number, since it uses less digits than its factorization.

230152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230152320 is about 15170.7718986214. The cubic root of 230152320 is about 612.8277917802.

The spelling of 230152320 in words is "two hundred thirty million, one hundred fifty-two thousand, three hundred twenty".