22482180 has 108 divisors (see below), whose sum is σ = 79361100. Its totient is φ = 5136768.

The previous prime is 22482179. The next prime is 22482181. The reversal of 22482180 is 8128422.

22482180 is a `hidden beast` number, since 2 + 2 + 482 + 180 = 666.

It is an interprime number because it is at equal distance from previous prime (22482179) and next prime (22482181).

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 7225344 = 3906^2 + 2688^2 .

It is not an unprimeable number, because it can be changed into a prime (22482181) 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, 7546 + ... + 10094.

It is an arithmetic number, because the mean of its divisors is an integer number (734825).

Almost surely, 2^22482180 is an apocalyptic number.

22482180 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 22482180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680550).

22482180 is an abundant number, since it is smaller than the sum of its proper divisors (56878920).

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

22482180 is a wasteful number, since it uses less digits than its factorization.

22482180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22482180 is about 4741.5377252533. The cubic root of 22482180 is about 282.2362589262.

The spelling of 22482180 in words is "twenty-two million, four hundred eighty-two thousand, one hundred eighty".