22840800 has 144 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 5875200.

The previous prime is 22840789. The next prime is 22840819. The reversal of 22840800 is 804822.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74247 + ... + 74553.

It is an arithmetic number, because the mean of its divisors is an integer number (534688).

Almost surely, 2^22840800 is an apocalyptic number.

22840800 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 22840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

22840800 is an abundant number, since it is smaller than the sum of its proper divisors (54154272).

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

22840800 is a wasteful number, since it uses less digits than its factorization.

22840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 22840800 is about 4779.2049548016. The cubic root of 22840800 is about 283.7290280579.

The spelling of 22840800 in words is "twenty-two million, eight hundred forty thousand, eight hundred".