22404200 has 96 divisors (see below), whose sum is σ = 64162560. Its totient is φ = 7084800.

The previous prime is 22404149. The next prime is 22404209. The reversal of 22404200 is 240422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (22404209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17585 + ... + 18815.

It is an arithmetic number, because the mean of its divisors is an integer number (668360).

Almost surely, 2^22404200 is an apocalyptic number.

22404200 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 22404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32081280).

22404200 is an abundant number, since it is smaller than the sum of its proper divisors (41758360).

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

22404200 is a wasteful number, since it uses less digits than its factorization.

22404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1258 counting only the distinct ones).

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

The square root of 22404200 is about 4733.3075116667. The cubic root of 22404200 is about 281.9095664284.

Adding to 22404200 its reverse (240422), we get a palindrome (22644622).

The spelling of 22404200 in words is "twenty-two million, four hundred four thousand, two hundred".