232272200 has 48 divisors (see below), whose sum is σ = 546142500. Its totient is φ = 91857920.

The previous prime is 232272191. The next prime is 232272211. The reversal of 232272200 is 2272232.

232272200 = T₂₂₄₀ + T₂₂₄₁ + ... + T₂₃₂₈.

232272200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 55860676 + 176411524 = 7474^2 + 13282^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11276 + ... + 24324.

Almost surely, 2^232272200 is an apocalyptic number.

232272200 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 232272200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273071250).

232272200 is an abundant number, since it is smaller than the sum of its proper divisors (313870300).

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

232272200 is a wasteful number, since it uses less digits than its factorization.

232272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13154 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 232272200 is about 15240.4789950972. The cubic root of 232272200 is about 614.7035828926.

The spelling of 232272200 in words is "two hundred thirty-two million, two hundred seventy-two thousand, two hundred".