2198200 has 48 divisors (see below), whose sum is σ = 5301000. Its totient is φ = 846720.

The previous prime is 2198191. The next prime is 2198201. The reversal of 2198200 is 28912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5611 + ... + 5989.

2^2198200 is an apocalyptic number.

2198200 is a gapful number since it is divisible by the number (20) 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 2198200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650500).

2198200 is an abundant number, since it is smaller than the sum of its proper divisors (3102800).

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

2198200 is a wasteful number, since it uses less digits than its factorization.

2198200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2198200 is about 1482.6327933781. The cubic root of 2198200 is about 130.0236643311.

Subtracting from 2198200 its product of nonzero digits (288), we obtain a palindrome (2197912).

The spelling of 2198200 in words is "two million, one hundred ninety-eight thousand, two hundred".