22504000 has 112 divisors (see below), whose sum is σ = 58247280. Its totient is φ = 8601600.

The previous prime is 22503979. The next prime is 22504043. The reversal of 22504000 is 40522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7573504 + 14930496 = 2752^2 + 3864^2 .

It is a super-4 number, since 4×22504000⁴ (a number of 31 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231952 + ... + 232048.

It is an arithmetic number, because the mean of its divisors is an integer number (520065).

Almost surely, 2^22504000 is an apocalyptic number.

22504000 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 22504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29123640).

22504000 is an abundant number, since it is smaller than the sum of its proper divisors (35743280).

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

22504000 is an equidigital number, since it uses as much as digits as its factorization.

22504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 22504000 is about 4743.8381085362. The cubic root of 22504000 is about 282.3275372024.

Adding to 22504000 its reverse (40522), we get a palindrome (22544522).

It can be divided in two parts, 2250 and 4000, that multiplied together give a square (9000000 = 3000²).

The spelling of 22504000 in words is "twenty-two million, five hundred four thousand".