22824000 has 168 divisors, whose sum is σ = 81902808. Its totient is φ = 6067200.

The previous prime is 22823993. The next prime is 22824001. The reversal of 22824000 is 42822.

It can be written as a sum of positive squares in 4 ways, for example, as 4981824 + 17842176 = 2232^2 + 4224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22824001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71842 + ... + 72158.

Almost surely, 2^22824000 is an apocalyptic number.

22824000 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 22824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40951404).

22824000 is an abundant number, since it is smaller than the sum of its proper divisors (59078808).

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

22824000 is a wasteful number, since it uses less digits than its factorization.

22824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

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

The square root of 22824000 is about 4777.4470169747. The cubic root of 22824000 is about 283.6594476461.

Adding to 22824000 its reverse (42822), we get a palindrome (22866822).

The spelling of 22824000 in words is "twenty-two million, eight hundred twenty-four thousand".