22213200 has 120 divisors (see below), whose sum is σ = 72236448. Its totient is φ = 5834240.

The previous prime is 22213183. The next prime is 22213259. The reversal of 22213200 is 231222.

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 (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 128314 + ... + 128486.

Almost surely, 2^22213200 is an apocalyptic number.

22213200 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 22213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36118224).

22213200 is an abundant number, since it is smaller than the sum of its proper divisors (50023248).

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

22213200 is a wasteful number, since it uses less digits than its factorization.

22213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22213200 is about 4713.0881595828. The cubic root of 22213200 is about 281.1061684322.

Adding to 22213200 its reverse (231222), we get a palindrome (22444422).

The spelling of 22213200 in words is "twenty-two million, two hundred thirteen thousand, two hundred".