22818400 has 72 divisors (see below), whose sum is σ = 60792984. Its totient is φ = 8294400.

The previous prime is 22818361. The next prime is 22818401. The reversal of 22818400 is 481822.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22818401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7504 + ... + 10096.

It is an arithmetic number, because the mean of its divisors is an integer number (844347).

Almost surely, 2^22818400 is an apocalyptic number.

22818400 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 22818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30396492).

22818400 is an abundant number, since it is smaller than the sum of its proper divisors (37974584).

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

22818400 is a wasteful number, since it uses less digits than its factorization.

22818400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 22818400 is about 4776.8608939344. The cubic root of 22818400 is about 283.6362465881.

The spelling of 22818400 in words is "twenty-two million, eight hundred eighteen thousand, four hundred".