232017228800 has 528 divisors, whose sum is σ = 703099498752. Its totient is φ = 74180198400.

The previous prime is 232017228791. The next prime is 232017228829. The reversal of 232017228800 is 8822710232.

It is a happy number.

232017228800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168984914 + ... + 168986286.

Almost surely, 2^232017228800 is an apocalyptic number.

232017228800 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 232017228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351549749376).

232017228800 is an abundant number, since it is smaller than the sum of its proper divisors (471082269952).

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

232017228800 is a wasteful number, since it uses less digits than its factorization.

232017228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 232017228800 in words is "two hundred thirty-two billion, seventeen million, two hundred twenty-eight thousand, eight hundred".