22753120 has 48 divisors (see below), whose sum is σ = 57894480. Its totient is φ = 8400384.

The previous prime is 22753111. The next prime is 22753121. The reversal of 22753120 is 2135722.

It is a junction number, because it is equal to n+sod(n) for n = 22753091 and 22753100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22753121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3390 + ... + 7549.

It is an arithmetic number, because the mean of its divisors is an integer number (1206135).

Almost surely, 2^22753120 is an apocalyptic number.

22753120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22753120 is an abundant number, since it is smaller than the sum of its proper divisors (35141360).

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

22753120 is a wasteful number, since it uses less digits than its factorization.

22753120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10967 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 22753120 is about 4770.0230607409. The cubic root of 22753120 is about 283.3655080724.

Adding to 22753120 its reverse (2135722), we get a palindrome (24888842).

The spelling of 22753120 in words is "twenty-two million, seven hundred fifty-three thousand, one hundred twenty".