22252320 has 240 divisors, whose sum is σ = 83974968. Its totient is φ = 5529600.

The previous prime is 22252319. The next prime is 22252343. The reversal of 22252320 is 2325222.

It can be written as a sum of positive squares in 4 ways, for example, as 22240656 + 11664 = 4716^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22252293 and 22252302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220270 + ... + 220370.

Almost surely, 2^22252320 is an apocalyptic number.

22252320 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 22252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41987484).

22252320 is an abundant number, since it is smaller than the sum of its proper divisors (61722648).

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

22252320 is a wasteful number, since it uses less digits than its factorization.

22252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22252320 is about 4717.2364791263. The cubic root of 22252320 is about 281.2710917516.

Adding to 22252320 its reverse (2325222), we get a palindrome (24577542).

The spelling of 22252320 in words is "twenty-two million, two hundred fifty-two thousand, three hundred twenty".