22422400 has 288 divisors, whose sum is σ = 75698280. Its totient is φ = 6451200.

The previous prime is 22422383. The next prime is 22422403. The reversal of 22422400 is 422422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1724794 + ... + 1724806.

Almost surely, 2^22422400 is an apocalyptic number.

22422400 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 22422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37849140).

22422400 is an abundant number, since it is smaller than the sum of its proper divisors (53275880).

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

22422400 is a wasteful number, since it uses less digits than its factorization.

22422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 22422400 is about 4735.2296670806. The cubic root of 22422400 is about 281.9858819618.

Adding to 22422400 its reverse (422422), we get a palindrome (22844822).

It can be divided in two parts, 22422 and 400, that added together give a palindrome (22822).

The spelling of 22422400 in words is "twenty-two million, four hundred twenty-two thousand, four hundred".