22451400 has 72 divisors (see below), whose sum is σ = 75405330. Its totient is φ = 5986560.

The previous prime is 22451393. The next prime is 22451411. The reversal of 22451400 is 415422.

It can be written as a sum of positive squares in 3 ways, for example, as 18507204 + 3944196 = 4302^2 + 1986^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4437 + ... + 8036.

Almost surely, 2^22451400 is an apocalyptic number.

22451400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22451400 is an abundant number, since it is smaller than the sum of its proper divisors (52953930).

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

22451400 is a wasteful number, since it uses less digits than its factorization.

22451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12495 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22451400 is about 4738.2908310909. The cubic root of 22451400 is about 282.1073983563.

Adding to 22451400 its reverse (415422), we get a palindrome (22866822).

The spelling of 22451400 in words is "twenty-two million, four hundred fifty-one thousand, four hundred".