230153920 has 56 divisors (see below), whose sum is σ = 565757568. Its totient is φ = 89088000.

The previous prime is 230153887. The next prime is 230153929. The reversal of 230153920 is 29351032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (230153929) 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, 1681 + ... + 21520.

Almost surely, 2^230153920 is an apocalyptic number.

230153920 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 230153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282878784).

230153920 is an abundant number, since it is smaller than the sum of its proper divisors (335603648).

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

230153920 is a wasteful number, since it uses less digits than its factorization.

230153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23249 (or 23239 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 230153920 is about 15170.8246315090. The cubic root of 230153920 is about 612.8292118863.

The spelling of 230153920 in words is "two hundred thirty million, one hundred fifty-three thousand, nine hundred twenty".