22769244900 has 54 divisors (see below), whose sum is σ = 71368936002. Its totient is φ = 6071798400.

The previous prime is 22769244881. The next prime is 22769244913. The reversal of 22769244900 is 944296722.

It is a happy number.

22769244900 is a `hidden beast` number, since 2 + 2 + 76 + 92 + 4 + 490 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2056356 + 22767188544 = 1434^2 + 150888^2 .

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12648681 + ... + 12650480.

It is an arithmetic number, because the mean of its divisors is an integer number (1321646963).

Almost surely, 2^22769244900 is an apocalyptic number.

22769244900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22769244900 is an abundant number, since it is smaller than the sum of its proper divisors (48599691102).

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

22769244900 is a wasteful number, since it uses less digits than its factorization.

22769244900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25299181 (or 25299171 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 22769244900 in words is "twenty-two billion, seven hundred sixty-nine million, two hundred forty-four thousand, nine hundred".