22282880 has 64 divisors (see below), whose sum is σ = 54767880. Its totient is φ = 8663040.

The previous prime is 22282879. The next prime is 22282889. The reversal of 22282880 is 8828222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21603904 + 678976 = 4648^2 + 824^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (22282889) 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, 23210 + ... + 24150.

Almost surely, 2^22282880 is an apocalyptic number.

22282880 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 22282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27383940).

22282880 is an abundant number, since it is smaller than the sum of its proper divisors (32485000).

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

22282880 is an equidigital number, since it uses as much as digits as its factorization.

22282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 22282880 is about 4720.4745524153. The cubic root of 22282880 is about 281.3997931282.

The spelling of 22282880 in words is "twenty-two million, two hundred eighty-two thousand, eight hundred eighty".