22264200 has 384 divisors, whose sum is σ = 95232000. Its totient is φ = 4665600.

The previous prime is 22264183. The next prime is 22264201. The reversal of 22264200 is 246222.

It is a happy number.

22264200 is a `hidden beast` number, since 2 + 22 + 642 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22264201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718185 + ... + 718215.

It is an arithmetic number, because the mean of its divisors is an integer number (248000).

Almost surely, 2^22264200 is an apocalyptic number.

22264200 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 22264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616000).

22264200 is an abundant number, since it is smaller than the sum of its proper divisors (72967800).

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

22264200 is a wasteful number, since it uses less digits than its factorization.

22264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22264200 is about 4718.4955229395. The cubic root of 22264200 is about 281.3211375610.

The spelling of 22264200 in words is "twenty-two million, two hundred sixty-four thousand, two hundred".