198381200 has 30 divisors (see below), whose sum is σ = 476611794. Its totient is φ = 79352320.

The previous prime is 198381179. The next prime is 198381229. The reversal of 198381200 is 2183891.

It can be written as a sum of positive squares in 3 ways, for example, as 19784704 + 178596496 = 4448^2 + 13364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247577 + ... + 248376.

Almost surely, 2^198381200 is an apocalyptic number.

198381200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198381200 is an abundant number, since it is smaller than the sum of its proper divisors (278230594).

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

198381200 is a wasteful number, since it uses less digits than its factorization.

198381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495971 (or 495960 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 198381200 is about 14084.7861183619. The cubic root of 198381200 is about 583.2214715209.

The spelling of 198381200 in words is "one hundred ninety-eight million, three hundred eighty-one thousand, two hundred".