232219975680 has 1568 divisors, whose sum is σ = 1052049679488. Its totient is φ = 47775744000.

The previous prime is 232219975679. The next prime is 232219975733. The reversal of 232219975680 is 86579912232.

232219975680 is a `hidden beast` number, since 2 + 322 + 199 + 7 + 56 + 80 = 666.

It is a super-2 number, since 2×232219975680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2299207630 + ... + 2299207730.

Almost surely, 2^232219975680 is an apocalyptic number.

232219975680 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 232219975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526024839744).

232219975680 is an abundant number, since it is smaller than the sum of its proper divisors (819829703808).

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

232219975680 is an equidigital number, since it uses as much as digits as its factorization.

232219975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 232219975680 in words is "two hundred thirty-two billion, two hundred nineteen million, nine hundred seventy-five thousand, six hundred eighty".