22412400 has 120 divisors (see below), whose sum is σ = 75649920. Its totient is φ = 5656320.

The previous prime is 22412393. The next prime is 22412461. The reversal of 22412400 is 421422.

It is a tau number, because it is divible by the number of its divisors (120).

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 22412400.

It is a congruent number.

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, 22309 + ... + 23291.

It is an arithmetic number, because the mean of its divisors is an integer number (630416).

Almost surely, 2^22412400 is an apocalyptic number.

22412400 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 22412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37824960).

22412400 is an abundant number, since it is smaller than the sum of its proper divisors (53237520).

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

22412400 is a wasteful number, since it uses less digits than its factorization.

22412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22412400 is about 4734.1736343316. The cubic root of 22412400 is about 281.9439554638.

Adding to 22412400 its reverse (421422), we get a palindrome (22833822).

The spelling of 22412400 in words is "twenty-two million, four hundred twelve thousand, four hundred".