233002120 has 64 divisors (see below), whose sum is σ = 572624640. Its totient is φ = 84806400.

The previous prime is 233002117. The next prime is 233002157. The reversal of 233002120 is 21200332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 233002120.

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 15 ways as a sum of consecutive naturals, for example, 33765 + ... + 40075.

It is an arithmetic number, because the mean of its divisors is an integer number (8947260).

Almost surely, 2^233002120 is an apocalyptic number.

233002120 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 233002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286312320).

233002120 is an abundant number, since it is smaller than the sum of its proper divisors (339622520).

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

233002120 is a wasteful number, since it uses less digits than its factorization.

233002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 233002120 is about 15264.4069652247. The cubic root of 233002120 is about 615.3468156430.

Adding to 233002120 its reverse (21200332), we get a palindrome (254202452).

The spelling of 233002120 in words is "two hundred thirty-three million, two thousand, one hundred twenty".