22510080 has 120 divisors (see below), whose sum is σ = 78038532. Its totient is φ = 5996544.

The previous prime is 22510069. The next prime is 22510087. The reversal of 22510080 is 8001522.

It can be written as a sum of positive squares in 2 ways, for example, as 21678336 + 831744 = 4656^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22510087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22552 + ... + 23528.

Almost surely, 2^22510080 is an apocalyptic number.

22510080 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 22510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39019266).

22510080 is an abundant number, since it is smaller than the sum of its proper divisors (55528452).

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

22510080 is an equidigital number, since it uses as much as digits as its factorization.

22510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 22510080 is about 4744.4788965702. The cubic root of 22510080 is about 282.3529607843.

The spelling of 22510080 in words is "twenty-two million, five hundred ten thousand, eighty".