198412200 has 384 divisors, whose sum is σ = 812448000. Its totient is φ = 43545600.

The previous prime is 198412187. The next prime is 198412211. The reversal of 198412200 is 2214891.

It is a super-2 number, since 2×198412200² = 78734802217680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096110 + ... + 1096290.

It is an arithmetic number, because the mean of its divisors is an integer number (2115750).

Almost surely, 2^198412200 is an apocalyptic number.

198412200 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 198412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224000).

198412200 is an abundant number, since it is smaller than the sum of its proper divisors (614035800).

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

198412200 is a wasteful number, since it uses less digits than its factorization.

198412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 198412200 is about 14085.8865535684. The cubic root of 198412200 is about 583.2518489356.

The spelling of 198412200 in words is "one hundred ninety-eight million, four hundred twelve thousand, two hundred".