22284880 has 20 divisors (see below), whose sum is σ = 51812532. Its totient is φ = 8913920.

The previous prime is 22284869. The next prime is 22284881. The reversal of 22284880 is 8848222.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 11235904 = 3324^2 + 3352^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×22284880² = 993231753228800, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22284881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139201 + ... + 139360.

Almost surely, 2^22284880 is an apocalyptic number.

22284880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22284880 is an abundant number, since it is smaller than the sum of its proper divisors (29527652).

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

22284880 is a wasteful number, since it uses less digits than its factorization.

22284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278574 (or 278568 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 22284880 is about 4720.6863907699. The cubic root of 22284880 is about 281.4082118895.

The spelling of 22284880 in words is "twenty-two million, two hundred eighty-four thousand, eight hundred eighty".