232318080 has 192 divisors, whose sum is σ = 818433720. Its totient is φ = 60702720.

The previous prime is 232318069. The next prime is 232318109. The reversal of 232318080 is 80813232.

It can be written as a sum of positive squares in 4 ways, for example, as 132158016 + 100160064 = 11496^2 + 10008^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304900 + ... + 305660.

Almost surely, 2^232318080 is an apocalyptic number.

232318080 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 232318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409216860).

232318080 is an abundant number, since it is smaller than the sum of its proper divisors (586115640).

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

232318080 is a wasteful number, since it uses less digits than its factorization.

232318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 232318080 is about 15241.9841228103. The cubic root of 232318080 is about 614.7440537190.

The spelling of 232318080 in words is "two hundred thirty-two million, three hundred eighteen thousand, eighty".