232081200 has 600 divisors, whose sum is σ = 976760400. Its totient is φ = 52254720.

The previous prime is 232081183. The next prime is 232081207. The reversal of 232081200 is 2180232.

It is a happy number.

232081200 is digitally balanced in base 2, 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 (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232081207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8002786 + ... + 8002814.

It is an arithmetic number, because the mean of its divisors is an integer number (1627934).

Almost surely, 2^232081200 is an apocalyptic number.

232081200 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 232081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488380200).

232081200 is an abundant number, since it is smaller than the sum of its proper divisors (744679200).

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

232081200 is a wasteful number, since it uses less digits than its factorization.

232081200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 232081200 is about 15234.2114991226. The cubic root of 232081200 is about 614.5350441679.

The spelling of 232081200 in words is "two hundred thirty-two million, eighty-one thousand, two hundred".