22164979200 has 480 divisors, whose sum is σ = 90131897856. Its totient is φ = 4675829760.

The previous prime is 22164979189. The next prime is 22164979229. The reversal of 22164979200 is 297946122.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3491229 + ... + 3497571.

Almost surely, 2^22164979200 is an apocalyptic number.

22164979200 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 22164979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45065948928).

22164979200 is an abundant number, since it is smaller than the sum of its proper divisors (67966918656).

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

22164979200 is a wasteful number, since it uses less digits than its factorization.

22164979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 22164979200 in words is "twenty-two billion, one hundred sixty-four million, nine hundred seventy-nine thousand, two hundred".