22082320 has 80 divisors (see below), whose sum is σ = 58590000. Its totient is φ = 7667712.

The previous prime is 22082309. The next prime is 22082381. The reversal of 22082320 is 2328022.

It can be written as a sum of positive squares in 8 ways, for example, as 589824 + 21492496 = 768^2 + 4636^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 17056 + ... + 18304.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 2^22082320 is an apocalyptic number.

22082320 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 22082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29295000).

22082320 is an abundant number, since it is smaller than the sum of its proper divisors (36507680).

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

22082320 is a wasteful number, since it uses less digits than its factorization.

22082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

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

The square root of 22082320 is about 4699.1829076979. The cubic root of 22082320 is about 280.5529887830.

The spelling of 22082320 in words is "twenty-two million, eighty-two thousand, three hundred twenty".