232112320 has 224 divisors, whose sum is σ = 653101056. Its totient is φ = 77721600.

The previous prime is 232112311. The next prime is 232112329. The reversal of 232112320 is 23211232.

It is an interprime number because it is at equal distance from previous prime (232112311) and next prime (232112329).

It is a super-2 number, since 2×232112320² = 107752258191564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 232112294 and 232112303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232112329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3805090 + ... + 3805150.

Almost surely, 2^232112320 is an apocalyptic number.

232112320 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 232112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326550528).

232112320 is an abundant number, since it is smaller than the sum of its proper divisors (420988736).

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

232112320 is a wasteful number, since it uses less digits than its factorization.

232112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 232112320 is about 15235.2328502061. The cubic root of 232112320 is about 614.5625108129.

Adding to 232112320 its reverse (23211232), we get a palindrome (255323552).

It can be divided in two parts, 2321 and 12320, that added together give a palindrome (14641).

The spelling of 232112320 in words is "two hundred thirty-two million, one hundred twelve thousand, three hundred twenty".