22258080 has 288 divisors, whose sum is σ = 86682960. Its totient is φ = 5160960.

The previous prime is 22258073. The next prime is 22258081. The reversal of 22258080 is 8085222.

22258080 = T₄₈₀ + T₄₈₁ + ... + T₆₂₄.

22258080 is a `hidden beast` number, since 2 + 2 + 2 + 580 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1354896 + 20903184 = 1164^2 + 4572^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (22258081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542860 + ... + 542900.

Almost surely, 2^22258080 is an apocalyptic number.

22258080 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 22258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43341480).

22258080 is an abundant number, since it is smaller than the sum of its proper divisors (64424880).

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

22258080 is a wasteful number, since it uses less digits than its factorization.

22258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22258080 is about 4717.8469665728. The cubic root of 22258080 is about 281.2953586103.

The spelling of 22258080 in words is "twenty-two million, two hundred fifty-eight thousand, eighty".