22206080 has 128 divisors (see below), whose sum is σ = 60918480. Its totient is φ = 7667712.

The previous prime is 22206061. The next prime is 22206101. The reversal of 22206080 is 8060222.

It can be written as a sum of positive squares in 8 ways, for example, as 6270016 + 15936064 = 2504^2 + 3992^2 .

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 (20).

It is a congruent number.

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, 141362 + ... + 141518.

Almost surely, 2^22206080 is an apocalyptic number.

22206080 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 22206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30459240).

22206080 is an abundant number, since it is smaller than the sum of its proper divisors (38712400).

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

22206080 is a wasteful number, since it uses less digits than its factorization.

22206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 22206080 is about 4712.3327556530. The cubic root of 22206080 is about 281.0761308900.

The spelling of 22206080 in words is "twenty-two million, two hundred six thousand, eighty".