232220800 has 144 divisors (see below), whose sum is σ = 667766970. Its totient is φ = 79564800.

The previous prime is 232220797. The next prime is 232220819. The reversal of 232220800 is 8022232.

It can be written as a sum of positive squares in 3 ways, for example, as 164454976 + 67765824 = 12824^2 + 8232^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156060 + ... + 157540.

Almost surely, 2^232220800 is an apocalyptic number.

232220800 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 232220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333883485).

232220800 is an abundant number, since it is smaller than the sum of its proper divisors (435546170).

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

232220800 is a wasteful number, since it uses less digits than its factorization.

232220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 232220800 is about 15238.7926030903. The cubic root of 232220800 is about 614.6582365345.

The spelling of 232220800 in words is "two hundred thirty-two million, two hundred twenty thousand, eight hundred".