22853280 has 96 divisors (see below), whose sum is σ = 73592064. Its totient is φ = 5958656.

The previous prime is 22853279. The next prime is 22853291. The reversal of 22853280 is 8235822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22054 + ... + 23066.

It is an arithmetic number, because the mean of its divisors is an integer number (766584).

Almost surely, 2^22853280 is an apocalyptic number.

22853280 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 22853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032).

22853280 is an abundant number, since it is smaller than the sum of its proper divisors (50738784).

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

22853280 is a wasteful number, since it uses less digits than its factorization.

22853280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 22853280 is about 4780.5104329977. The cubic root of 22853280 is about 283.7806942803.

It can be divided in two parts, 2285 and 3280, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 22853280 in words is "twenty-two million, eight hundred fifty-three thousand, two hundred eighty".