22275400 has 72 divisors (see below), whose sum is σ = 60272370. Its totient is φ = 7633920.

The previous prime is 22275397. The next prime is 22275401. The reversal of 22275400 is 457222.

It can be written as a sum of positive squares in 3 ways, for example, as 20196036 + 2079364 = 4494^2 + 1442^2 .

It is not an unprimeable number, because it can be changed into a prime (22275401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8664 + ... + 10936.

Almost surely, 2^22275400 is an apocalyptic number.

22275400 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 22275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30136185).

22275400 is an abundant number, since it is smaller than the sum of its proper divisors (37996970).

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

22275400 is a wasteful number, since it uses less digits than its factorization.

22275400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 22275400 is about 4719.6821926905. The cubic root of 22275400 is about 281.3683024947.

The spelling of 22275400 in words is "twenty-two million, two hundred seventy-five thousand, four hundred".