22270080 has 128 divisors (see below), whose sum is σ = 81175680. Its totient is φ = 5087232.

The previous prime is 22270019. The next prime is 22270097. The reversal of 22270080 is 8007222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12612 + ... + 14268.

It is an arithmetic number, because the mean of its divisors is an integer number (634185).

Almost surely, 2^22270080 is an apocalyptic number.

22270080 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 22270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40587840).

22270080 is an abundant number, since it is smaller than the sum of its proper divisors (58905600).

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

22270080 is a wasteful number, since it uses less digits than its factorization.

22270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 22270080 is about 4719.1185617655. The cubic root of 22270080 is about 281.3459011229.

The spelling of 22270080 in words is "twenty-two million, two hundred seventy thousand, eighty".