22250400 has 144 divisors (see below), whose sum is σ = 73995264. Its totient is φ = 5806080.

The previous prime is 22250383. The next prime is 22250419. The reversal of 22250400 is 405222.

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 22250400.

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, 175137 + ... + 175263.

It is an arithmetic number, because the mean of its divisors is an integer number (513856).

Almost surely, 2^22250400 is an apocalyptic number.

22250400 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 22250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36997632).

22250400 is an abundant number, since it is smaller than the sum of its proper divisors (51744864).

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

22250400 is a wasteful number, since it uses less digits than its factorization.

22250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 22250400 is about 4717.0329657529. The cubic root of 22250400 is about 281.2630018681.

Adding to 22250400 its reverse (405222), we get a palindrome (22655622).

The spelling of 22250400 in words is "twenty-two million, two hundred fifty thousand, four hundred".