22824800 has 72 divisors (see below), whose sum is σ = 56465136. Its totient is φ = 9008640.

The previous prime is 22824793. The next prime is 22824803. The reversal of 22824800 is 842822.

It is a self number, because there is not a number n which added to its sum of digits gives 22824800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22824803) 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, 82262 + ... + 82538.

It is an arithmetic number, because the mean of its divisors is an integer number (784238).

Almost surely, 2^22824800 is an apocalyptic number.

22824800 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 22824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28232568).

22824800 is an abundant number, since it is smaller than the sum of its proper divisors (33640336).

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

22824800 is a wasteful number, since it uses less digits than its factorization.

22824800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 22824800 is about 4777.5307429675. The cubic root of 22824800 is about 283.6627617731.

The spelling of 22824800 in words is "twenty-two million, eight hundred twenty-four thousand, eight hundred".