22117200 has 120 divisors (see below), whose sum is σ = 81000768. Its totient is φ = 5053440.

The previous prime is 22117171. The next prime is 22117211. The reversal of 22117200 is 271122.

22117200 = 196² + 197² + ... + 419².

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22117200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7084 + ... + 9716.

Almost surely, 2^22117200 is an apocalyptic number.

22117200 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 22117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40500384).

22117200 is an abundant number, since it is smaller than the sum of its proper divisors (58883568).

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

22117200 is a wasteful number, since it uses less digits than its factorization.

22117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 22117200 is about 4702.8927268225. The cubic root of 22117200 is about 280.7006263569.

Adding to 22117200 its reverse (271122), we get a palindrome (22388322).

The spelling of 22117200 in words is "twenty-two million, one hundred seventeen thousand, two hundred".