198387200 has 120 divisors (see below), whose sum is σ = 536583960. Its totient is φ = 72089600.

The previous prime is 198387193. The next prime is 198387239. The reversal of 198387200 is 2783891.

It is a super-2 number, since 2×198387200² = 78714962247680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140096 + ... + 141504.

It is an arithmetic number, because the mean of its divisors is an integer number (4471533).

Almost surely, 2^198387200 is an apocalyptic number.

198387200 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 198387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268291980).

198387200 is an abundant number, since it is smaller than the sum of its proper divisors (338196760).

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

198387200 is a wasteful number, since it uses less digits than its factorization.

198387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 198387200 is about 14084.9991125310. Note that the first 3 decimals coincide. The cubic root of 198387200 is about 583.2273512675.

The spelling of 198387200 in words is "one hundred ninety-eight million, three hundred eighty-seven thousand, two hundred".