22845120 has 112 divisors (see below), whose sum is σ = 74066400. Its totient is φ = 5963776.

The previous prime is 22845107. The next prime is 22845133. The reversal of 22845120 is 2154822.

It is an interprime number because it is at equal distance from previous prime (22845107) and next prime (22845133).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50656 + ... + 51104.

Almost surely, 2^22845120 is an apocalyptic number.

22845120 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 22845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37033200).

22845120 is an abundant number, since it is smaller than the sum of its proper divisors (51221280).

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

22845120 is a wasteful number, since it uses less digits than its factorization.

22845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 22845120 is about 4779.6568914515. The cubic root of 22845120 is about 283.7469146488.

Adding to 22845120 its reverse (2154822), we get a palindrome (24999942).

The spelling of 22845120 in words is "twenty-two million, eight hundred forty-five thousand, one hundred twenty".