22024000 has 56 divisors (see below), whose sum is σ = 54562248. Its totient is φ = 8806400.

The previous prime is 22023977. The next prime is 22024001. The reversal of 22024000 is 42022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 21977344 = 216^2 + 4688^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22024001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6624 + ... + 9376.

Almost surely, 2^22024000 is an apocalyptic number.

22024000 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 22024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27281124).

22024000 is an abundant number, since it is smaller than the sum of its proper divisors (32538248).

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

22024000 is an equidigital number, since it uses as much as digits as its factorization.

22024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 22024000 is about 4692.9734710522. The cubic root of 22024000 is about 280.3057883755.

Adding to 22024000 its reverse (42022), we get a palindrome (22066022).

The spelling of 22024000 in words is "twenty-two million, twenty-four thousand".