22350400 has 84 divisors (see below), whose sum is σ = 56141620. Its totient is φ = 8755200.

The previous prime is 22350373. The next prime is 22350401. The reversal of 22350400 is 405322.

It can be written as a sum of positive squares in 6 ways, for example, as 746496 + 21603904 = 864^2 + 4648^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22350401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97486 + ... + 97714.

Almost surely, 2^22350400 is an apocalyptic number.

22350400 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 22350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28070810).

22350400 is an abundant number, since it is smaller than the sum of its proper divisors (33791220).

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

22350400 is a wasteful number, since it uses less digits than its factorization.

22350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 22350400 is about 4727.6209661943. The cubic root of 22350400 is about 281.6837324176.

Adding to 22350400 its reverse (405322), we get a palindrome (22755722).

The spelling of 22350400 in words is "twenty-two million, three hundred fifty thousand, four hundred".