198022400 has 54 divisors (see below), whose sum is σ = 490152222. Its totient is φ = 79206400.

The previous prime is 198022399. The next prime is 198022417. The reversal of 198022400 is 4220891.

It can be written as a sum of positive squares in 3 ways, for example, as 3810304 + 194212096 = 1952^2 + 13936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 198022400.

It is a congruent number.

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, 9071 + ... + 21870.

It is an arithmetic number, because the mean of its divisors is an integer number (9076893).

Almost surely, 2^198022400 is an apocalyptic number.

198022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198022400 is an abundant number, since it is smaller than the sum of its proper divisors (292129822).

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

198022400 is an equidigital number, since it uses as much as digits as its factorization.

198022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30967 (or 30948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 198022400 is about 14072.0432063009. The cubic root of 198022400 is about 582.8696469370.

The spelling of 198022400 in words is "one hundred ninety-eight million, twenty-two thousand, four hundred".