189251200 has 48 divisors (see below), whose sum is σ = 467517510. Its totient is φ = 75699200.

The previous prime is 189251197. The next prime is 189251233. The reversal of 189251200 is 2152981.

189251200 is digitally balanced in base 2, 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 3 ways, for example, as 150013504 + 39237696 = 12248^2 + 6264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26371 + ... + 32770.

Almost surely, 2^189251200 is an apocalyptic number.

189251200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189251200 is an abundant number, since it is smaller than the sum of its proper divisors (278266310).

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

189251200 is an equidigital number, since it uses as much as digits as its factorization.

189251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59165 (or 59148 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 189251200 is about 13756.8601068703. The cubic root of 189251200 is about 574.1334900592.

The spelling of 189251200 in words is "one hundred eighty-nine million, two hundred fifty-one thousand, two hundred".