22164224940 has 288 divisors, whose sum is σ = 81459302400. Its totient is φ = 4959601920.

The previous prime is 22164224933. The next prime is 22164224941. The reversal of 22164224940 is 4942246122.

22164224940 is a `hidden beast` number, since 2 + 2 + 1 + 642 + 2 + 4 + 9 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 22164224895 and 22164224904.

It is not an unprimeable number, because it can be changed into a prime (22164224941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 992821 + ... + 1014899.

It is an arithmetic number, because the mean of its divisors is an integer number (282844800).

Almost surely, 2^22164224940 is an apocalyptic number.

22164224940 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 22164224940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40729651200).

22164224940 is an abundant number, since it is smaller than the sum of its proper divisors (59295077460).

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

22164224940 is a wasteful number, since it uses less digits than its factorization.

22164224940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22134 (or 22113 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22164224940 in words is "twenty-two billion, one hundred sixty-four million, two hundred twenty-four thousand, nine hundred forty".