198227200 has 108 divisors (see below), whose sum is σ = 501842880. Its totient is φ = 77486080.

The previous prime is 198227189. The next prime is 198227207. The reversal of 198227200 is 2722891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198227207) by changing a digit.

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, 300471 + ... + 301129.

Almost surely, 2^198227200 is an apocalyptic number.

198227200 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 198227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250921440).

198227200 is an abundant number, since it is smaller than the sum of its proper divisors (303615680).

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

198227200 is an equidigital number, since it uses as much as digits as its factorization.

198227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 198227200 is about 14079.3181653090. The cubic root of 198227200 is about 583.0705174360.

The spelling of 198227200 in words is "one hundred ninety-eight million, two hundred twenty-seven thousand, two hundred".