22056480 has 216 divisors, whose sum is σ = 81464292. Its totient is φ = 5431296.

The previous prime is 22056449. The next prime is 22056487. The reversal of 22056480 is 8465022.

22056480 is a `hidden beast` number, since 2 + 20 + 564 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17943696 + 4112784 = 4236^2 + 2028^2 .

It is not an unprimeable number, because it can be changed into a prime (22056487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416134 + ... + 416186.

Almost surely, 2^22056480 is an apocalyptic number.

22056480 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 22056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40732146).

22056480 is an abundant number, since it is smaller than the sum of its proper divisors (59407812).

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

22056480 is a wasteful number, since it uses less digits than its factorization.

22056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22056480 is about 4696.4326887543. The cubic root of 22056480 is about 280.4435147970.

It can be divided in two parts, 2205 and 6480, that multiplied together give a square (14288400 = 3780²).

The spelling of 22056480 in words is "twenty-two million, fifty-six thousand, four hundred eighty".