189632200 has 48 divisors (see below), whose sum is σ = 443224980. Its totient is φ = 75452160.

The previous prime is 189632147. The next prime is 189632207. The reversal of 189632200 is 2236981.

189632200 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 6 ways, for example, as 149866564 + 39765636 = 12242^2 + 6306^2 .

It is not an unprimeable number, because it can be changed into a prime (189632207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36994 + ... + 41806.

Almost surely, 2^189632200 is an apocalyptic number.

189632200 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 189632200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221612490).

189632200 is an abundant number, since it is smaller than the sum of its proper divisors (253592780).

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

189632200 is a wasteful number, since it uses less digits than its factorization.

189632200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 189632200 is about 13770.7007810060. The cubic root of 189632200 is about 574.5185131247.

The spelling of 189632200 in words is "one hundred eighty-nine million, six hundred thirty-two thousand, two hundred".