189199200 has 144 divisors (see below), whose sum is σ = 635959296. Its totient is φ = 48806400.

The previous prime is 189199193. The next prime is 189199217. The reversal of 189199200 is 2991981.

It is a happy number.

189199200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73129 + ... + 75671.

It is an arithmetic number, because the mean of its divisors is an integer number (4416384).

Almost surely, 2^189199200 is an apocalyptic number.

189199200 is a gapful number since it is divisible by the number (10) 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 189199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317979648).

189199200 is an abundant number, since it is smaller than the sum of its proper divisors (446760096).

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

189199200 is a wasteful number, since it uses less digits than its factorization.

189199200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 189199200 is about 13754.9700108724. The cubic root of 189199200 is about 574.0809009144.

The spelling of 189199200 in words is "one hundred eighty-nine million, one hundred ninety-nine thousand, two hundred".