22164480 has 264 divisors, whose sum is σ = 84942312. Its totient is φ = 5308416.

The previous prime is 22164463. The next prime is 22164487. The reversal of 22164480 is 8446122.

22164480 is a `hidden beast` number, since 2 + 216 + 448 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 19501056 = 1632^2 + 4416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22164487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599022 + ... + 599058.

Almost surely, 2^22164480 is an apocalyptic number.

22164480 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 22164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42471156).

22164480 is an abundant number, since it is smaller than the sum of its proper divisors (62777832).

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

22164480 is a wasteful number, since it uses less digits than its factorization.

22164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22164480 is about 4707.9167367319. The cubic root of 22164480 is about 280.9005021696.

The spelling of 22164480 in words is "twenty-two million, one hundred sixty-four thousand, four hundred eighty".