22024800 has 432 divisors, whose sum is σ = 97493760. Its totient is φ = 4561920.

The previous prime is 22024789. The next prime is 22024801. The reversal of 22024800 is 842022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22024801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957589 + ... + 957611.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^22024800 is an apocalyptic number.

22024800 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 22024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

22024800 is an abundant number, since it is smaller than the sum of its proper divisors (75468960).

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

22024800 is a wasteful number, since it uses less digits than its factorization.

22024800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22024800 is about 4693.0587040863. The cubic root of 22024800 is about 280.3091822779.

Adding to 22024800 its reverse (842022), we get a palindrome (22866822).

The spelling of 22024800 in words is "twenty-two million, twenty-four thousand, eight hundred".