233352820 has 24 divisors (see below), whose sum is σ = 490720104. Its totient is φ = 93211776.

The previous prime is 233352817. The next prime is 233352869. The reversal of 233352820 is 28253332.

233352820 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 4 ways, for example, as 71707024 + 161645796 = 8468^2 + 12714^2 .

It is a super-3 number, since 3×233352820³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7434 + ... + 22846.

It is an arithmetic number, because the mean of its divisors is an integer number (20446671).

Almost surely, 2^233352820 is an apocalyptic number.

233352820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233352820 is an abundant number, since it is smaller than the sum of its proper divisors (257367284).

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

233352820 is a wasteful number, since it uses less digits than its factorization.

233352820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16179 (or 16177 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 233352820 is about 15275.8901540958. The cubic root of 233352820 is about 615.6553878684.

The spelling of 233352820 in words is "two hundred thirty-three million, three hundred fifty-two thousand, eight hundred twenty".