22228976880 has 640 divisors, whose sum is σ = 86330188800. Its totient is φ = 5211648000.

The previous prime is 22228976879. The next prime is 22228976881. The reversal of 22228976880 is 8867982222.

22228976880 is a `hidden beast` number, since 222 + 289 + 7 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (22228976879) and next prime (22228976881).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22228976881) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 141585762 + ... + 141585918.

It is an arithmetic number, because the mean of its divisors is an integer number (134890920).

Almost surely, 2^22228976880 is an apocalyptic number.

22228976880 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 22228976880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43165094400).

22228976880 is an abundant number, since it is smaller than the sum of its proper divisors (64101211920).

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

22228976880 is a wasteful number, since it uses less digits than its factorization.

22228976880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 22228976880 in words is "twenty-two billion, two hundred twenty-eight million, nine hundred seventy-six thousand, eight hundred eighty".