22048800 has 72 divisors (see below), whose sum is σ = 71776656. Its totient is φ = 5879040.

The previous prime is 22048799. The next prime is 22048823. The reversal of 22048800 is 884022.

It is a super-2 number, since 2×22048800² = 972299162880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2194 + ... + 6993.

It is an arithmetic number, because the mean of its divisors is an integer number (996898).

Almost surely, 2^22048800 is an apocalyptic number.

22048800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22048800 is an abundant number, since it is smaller than the sum of its proper divisors (49727856).

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

22048800 is a wasteful number, since it uses less digits than its factorization.

22048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210 (or 9197 counting only the distinct ones).

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

The square root of 22048800 is about 4695.6149756981. The cubic root of 22048800 is about 280.4109611555.

The spelling of 22048800 in words is "twenty-two million, forty-eight thousand, eight hundred".