22180480 has 64 divisors (see below), whose sum is σ = 60612480. Its totient is φ = 7603200.

The previous prime is 22180463. The next prime is 22180481. The reversal of 22180480 is 8408122.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (22180481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2005 + ... + 6955.

It is an arithmetic number, because the mean of its divisors is an integer number (947070).

Almost surely, 2^22180480 is an apocalyptic number.

22180480 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 22180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30306240).

22180480 is an abundant number, since it is smaller than the sum of its proper divisors (38432000).

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

22180480 is an equidigital number, since it uses as much as digits as its factorization.

22180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 22180480 is about 4709.6156955743. The cubic root of 22180480 is about 280.9680776628.

The spelling of 22180480 in words is "twenty-two million, one hundred eighty thousand, four hundred eighty".