198222200 has 72 divisors (see below), whose sum is σ = 506634240. Its totient is φ = 72072000.

The previous prime is 198222191. The next prime is 198222203. The reversal of 198222200 is 2222891.

It is a self number, because there is not a number n which added to its sum of digits gives 198222200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198222203) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 20105 + ... + 28295.

Almost surely, 2^198222200 is an apocalyptic number.

198222200 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 198222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253317120).

198222200 is an abundant number, since it is smaller than the sum of its proper divisors (308412040).

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

198222200 is a wasteful number, since it uses less digits than its factorization.

198222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8209 counting only the distinct ones).

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

The square root of 198222200 is about 14079.1405987724. The cubic root of 198222200 is about 583.0656150191.

It can be divided in two parts, 19822 and 2200, that added together give a palindrome (22022).

The spelling of 198222200 in words is "one hundred ninety-eight million, two hundred twenty-two thousand, two hundred".