232335505200 has 120 divisors (see below), whose sum is σ = 749681066448. Its totient is φ = 61503856640.

The previous prime is 232335505151. The next prime is 232335505201. The reversal of 232335505200 is 2505533232.

232335505200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×232335505200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (232335505201) 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 23 ways as a sum of consecutive naturals, for example, 542217 + ... + 871016.

Almost surely, 2^232335505200 is an apocalyptic number.

232335505200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232335505200 is an abundant number, since it is smaller than the sum of its proper divisors (517345561248).

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

232335505200 is a wasteful number, since it uses less digits than its factorization.

232335505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413391 (or 1413380 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The spelling of 232335505200 in words is "two hundred thirty-two billion, three hundred thirty-five million, five hundred five thousand, two hundred".