22853100 has 72 divisors (see below), whose sum is σ = 70026768. Its totient is φ = 5734400.

The previous prime is 22853093. The next prime is 22853141. The reversal of 22853100 is 135822.

It is a super-2 number, since 2×22853100² = 1044528359220000, which contains 22 as substring.

It is a zygodrome in base 11.

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, 2860 + ... + 7340.

It is an arithmetic number, because the mean of its divisors is an integer number (972594).

Almost surely, 2^22853100 is an apocalyptic number.

22853100 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 22853100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35013384).

22853100 is an abundant number, since it is smaller than the sum of its proper divisors (47173668).

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

22853100 is a wasteful number, since it uses less digits than its factorization.

22853100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 22853100 is about 4780.4916065191. The cubic root of 22853100 is about 283.7799492281.

Adding to 22853100 its reverse (135822), we get a palindrome (22988922).

The spelling of 22853100 in words is "twenty-two million, eight hundred fifty-three thousand, one hundred".