232141200 has 60 divisors (see below), whose sum is σ = 743629488. Its totient is φ = 61904000.

The previous prime is 232141187. The next prime is 232141213. The reversal of 232141200 is 2141232.

It is an interprime number because it is at equal distance from previous prime (232141187) and next prime (232141213).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232141200.

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 11 ways as a sum of consecutive naturals, for example, 95526 + ... + 97925.

Almost surely, 2^232141200 is an apocalyptic number.

232141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232141200 is an abundant number, since it is smaller than the sum of its proper divisors (511488288).

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

232141200 is a wasteful number, since it uses less digits than its factorization.

232141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193472 (or 193461 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 232141200 is about 15236.1806237653. The cubic root of 232141200 is about 614.5879982282.

Adding to 232141200 its reverse (2141232), we get a palindrome (234282432).

The spelling of 232141200 in words is "two hundred thirty-two million, one hundred forty-one thousand, two hundred".