188200 has 24 divisors (see below), whose sum is σ = 438030. Its totient is φ = 75200.

The previous prime is 188197. The next prime is 188249. The reversal of 188200 is 2881.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 148996 + 39204 = 386^2 + 198^2 .

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, 271 + ... + 670.

2¹⁸⁸²⁰⁰ is an apocalyptic number.

188200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

188200 is an abundant number, since it is smaller than the sum of its proper divisors (249830).

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

188200 is a wasteful number, since it uses less digits than its factorization.

188200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 188200 is about 433.8202392697. The cubic root of 188200 is about 57.3068503374.

The spelling of 188200 in words is "one hundred eighty-eight thousand, two hundred".