22402400 has 72 divisors (see below), whose sum is σ = 56105784. Its totient is φ = 8729600.

The previous prime is 22402399. The next prime is 22402421. The reversal of 22402400 is 420422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32459 + ... + 33141.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 2^22402400 is an apocalyptic number.

22402400 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 22402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28052892).

22402400 is an abundant number, since it is smaller than the sum of its proper divisors (33703384).

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

22402400 is a wasteful number, since it uses less digits than its factorization.

22402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 22402400 is about 4733.1173659651. The cubic root of 22402400 is about 281.9020164927.

Adding to 22402400 its reverse (420422), we get a palindrome (22822822).

The spelling of 22402400 in words is "twenty-two million, four hundred two thousand, four hundred".