22530400 has 36 divisors (see below), whose sum is σ = 55004292. Its totient is φ = 9011840.

The previous prime is 22530379. The next prime is 22530449. The reversal of 22530400 is 403522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13282 + ... + 14881.

It is an arithmetic number, because the mean of its divisors is an integer number (1527897).

Almost surely, 2^22530400 is an apocalyptic number.

22530400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22530400 is an abundant number, since it is smaller than the sum of its proper divisors (32473892).

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

22530400 is a wasteful number, since it uses less digits than its factorization.

22530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28183 (or 28170 counting only the distinct ones).

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

The square root of 22530400 is about 4746.6198499564. The cubic root of 22530400 is about 282.4378958686.

Adding to 22530400 its reverse (403522), we get a palindrome (22933922).

It can be divided in two parts, 225 and 30400, that added together give a square (30625 = 175²).

The spelling of 22530400 in words is "twenty-two million, five hundred thirty thousand, four hundred".