22264900 has 72 divisors (see below), whose sum is σ = 58496256. Its totient is φ = 7180800.

The previous prime is 22264877. The next prime is 22264901. The reversal of 22264900 is 946222.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22264901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10965 + ... + 12835.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^22264900 is an apocalyptic number.

22264900 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 22264900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128).

22264900 is an abundant number, since it is smaller than the sum of its proper divisors (36231356).

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

22264900 is a wasteful number, since it uses less digits than its factorization.

22264900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 22264900 is about 4718.5696985421. The cubic root of 22264900 is about 281.3240858327.

The spelling of 22264900 in words is "twenty-two million, two hundred sixty-four thousand, nine hundred".