22188200 has 48 divisors (see below), whose sum is σ = 54312000. Its totient is φ = 8406720.

The previous prime is 22188193. The next prime is 22188203. The reversal of 22188200 is 288122.

It is not an unprimeable number, because it can be changed into a prime (22188203) 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, 881 + ... + 6719.

It is an arithmetic number, because the mean of its divisors is an integer number (1131500).

Almost surely, 2^22188200 is an apocalyptic number.

22188200 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 22188200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27156000).

22188200 is an abundant number, since it is smaller than the sum of its proper divisors (32123800).

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

22188200 is a wasteful number, since it uses less digits than its factorization.

22188200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 22188200 is about 4710.4352240531. The cubic root of 22188200 is about 281.0006712158. Note that the first 3 decimals are identical.

The spelling of 22188200 in words is "twenty-two million, one hundred eighty-eight thousand, two hundred".