189201900 has 72 divisors (see below), whose sum is σ = 548853760. Its totient is φ = 50322240.

The previous prime is 189201893. The next prime is 189201923. The reversal of 189201900 is 9102981.

It is a super-2 number, since 2×189201900² = 71594717927220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 181581 + ... + 182619.

Almost surely, 2^189201900 is an apocalyptic number.

189201900 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 189201900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274426880).

189201900 is an abundant number, since it is smaller than the sum of its proper divisors (359651860).

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

189201900 is a wasteful number, since it uses less digits than its factorization.

189201900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 189201900 is about 13755.0681568649. The cubic root of 189201900 is about 574.0836317418.

The spelling of 189201900 in words is "one hundred eighty-nine million, two hundred one thousand, nine hundred".