22322080 has 72 divisors (see below), whose sum is σ = 58016196. Its totient is φ = 8110080.

The previous prime is 22322059. The next prime is 22322087. The reversal of 22322080 is 8022322.

It can be written as a sum of positive squares in 2 ways, for example, as 22165264 + 156816 = 4708^2 + 396^2 .

It is a super-3 number, since 3×22322080³ (a number of 23 digits) contains 333 as substring.

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 not an unprimeable number, because it can be changed into a prime (22322087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18784 + ... + 19936.

Almost surely, 2^22322080 is an apocalyptic number.

22322080 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 22322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29008098).

22322080 is an abundant number, since it is smaller than the sum of its proper divisors (35694116).

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

22322080 is a wasteful number, since it uses less digits than its factorization.

22322080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22322080 is about 4724.6248528322. The cubic root of 22322080 is about 281.5647091191.

The spelling of 22322080 in words is "twenty-two million, three hundred twenty-two thousand, eighty".