233352720 has 60 divisors (see below), whose sum is σ = 783678636. Its totient is φ = 62227200.

The previous prime is 233352709. The next prime is 233352739. The reversal of 233352720 is 27253332.

233352720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43243776 + 190108944 = 6576^2 + 13788^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161331 + ... + 162770.

Almost surely, 2^233352720 is an apocalyptic number.

233352720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233352720 is an abundant number, since it is smaller than the sum of its proper divisors (550325916).

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

233352720 is a wasteful number, since it uses less digits than its factorization.

233352720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324120 (or 324111 counting only the distinct ones).

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

The square root of 233352720 is about 15275.8868809637. The cubic root of 233352720 is about 615.6552999250.

The spelling of 233352720 in words is "two hundred thirty-three million, three hundred fifty-two thousand, seven hundred twenty".