232112320224 has 96 divisors (see below), whose sum is σ = 626002463520. Its totient is φ = 75250778112.

The previous prime is 232112320217. The next prime is 232112320229. The reversal of 232112320224 is 422023211232.

232112320224 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 (96).

It is a super-2 number, since 2×232112320224² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 232112320194 and 232112320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232112320229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10477992 + ... + 10500120.

It is an arithmetic number, because the mean of its divisors is an integer number (6520858995).

Almost surely, 2^232112320224 is an apocalyptic number.

232112320224 is a gapful number since it is divisible by the number (24) 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 232112320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313001231760).

232112320224 is an abundant number, since it is smaller than the sum of its proper divisors (393890143296).

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

232112320224 is a wasteful number, since it uses less digits than its factorization.

232112320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25132 (or 25124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232112320224 its reverse (422023211232), we get a palindrome (654135531456).

The spelling of 232112320224 in words is "two hundred thirty-two billion, one hundred twelve million, three hundred twenty thousand, two hundred twenty-four".