233385320 has 64 divisors (see below), whose sum is σ = 602277120. Its totient is φ = 79732224.

The previous prime is 233385319. The next prime is 233385337. The reversal of 233385320 is 23583332.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86309 + ... + 88971.

It is an arithmetic number, because the mean of its divisors is an integer number (9410580).

Almost surely, 2^233385320 is an apocalyptic number.

233385320 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 233385320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301138560).

233385320 is an abundant number, since it is smaller than the sum of its proper divisors (368891800).

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

233385320 is a wasteful number, since it uses less digits than its factorization.

233385320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 233385320 is about 15276.9538848554. The cubic root of 233385320 is about 615.6839681548.

The spelling of 233385320 in words is "two hundred thirty-three million, three hundred eighty-five thousand, three hundred twenty".