22720800 has 72 divisors (see below), whose sum is σ = 73964016. Its totient is φ = 6058240.

The previous prime is 22720793. The next prime is 22720807. The reversal of 22720800 is 802722.

It is an interprime number because it is at equal distance from previous prime (22720793) and next prime (22720807).

It is not an unprimeable number, because it can be changed into a prime (22720807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2334 + ... + 7133.

It is an arithmetic number, because the mean of its divisors is an integer number (1027278).

Almost surely, 2^22720800 is an apocalyptic number.

22720800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22720800 is an abundant number, since it is smaller than the sum of its proper divisors (51243216).

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

22720800 is a wasteful number, since it uses less digits than its factorization.

22720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9490 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 22720800 is about 4766.6340325223. The cubic root of 22720800 is about 283.2312742761.

The spelling of 22720800 in words is "twenty-two million, seven hundred twenty thousand, eight hundred".