22166582800 has 30 divisors (see below), whose sum is σ = 53255216138. Its totient is φ = 8866632960.

The previous prime is 22166582771. The next prime is 22166582803. The reversal of 22166582800 is 828566122.

It can be written as a sum of positive squares in 3 ways, for example, as 206899456 + 21959683344 = 14384^2 + 148188^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (22166582803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27707829 + ... + 27708628.

Almost surely, 2^22166582800 is an apocalyptic number.

22166582800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22166582800 is an abundant number, since it is smaller than the sum of its proper divisors (31088633338).

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

22166582800 is a wasteful number, since it uses less digits than its factorization.

22166582800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55416475 (or 55416464 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 22166582800 in words is "twenty-two billion, one hundred sixty-six million, five hundred eighty-two thousand, eight hundred".