22082500 has 90 divisors (see below), whose sum is σ = 53806214. Its totient is φ = 7920000.

The previous prime is 22082497. The next prime is 22082519. The reversal of 22082500 is 528022.

It can be written as a sum of positive squares in 5 ways, for example, as 7929856 + 14152644 = 2816^2 + 3762^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 302464 + ... + 302536.

Almost surely, 2^22082500 is an apocalyptic number.

22082500 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 22082500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26903107).

22082500 is an abundant number, since it is smaller than the sum of its proper divisors (31723714).

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

22082500 is a wasteful number, since it uses less digits than its factorization.

22082500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 22082500 is about 4699.2020599246. The cubic root of 22082500 is about 280.5537510731.

The spelling of 22082500 in words is "twenty-two million, eighty-two thousand, five hundred".