22485120 has 192 divisors, whose sum is σ = 83721600. Its totient is φ = 5117952.

The previous prime is 22485119. The next prime is 22485131. The reversal of 22485120 is 2158422.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93961 + ... + 94199.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^22485120 is an apocalyptic number.

22485120 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 22485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860800).

22485120 is an abundant number, since it is smaller than the sum of its proper divisors (61236480).

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

22485120 is a wasteful number, since it uses less digits than its factorization.

22485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

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

The square root of 22485120 is about 4741.8477411237. The cubic root of 22485120 is about 282.2485610908.

The spelling of 22485120 in words is "twenty-two million, four hundred eighty-five thousand, one hundred twenty".