22853400 has 96 divisors (see below), whose sum is σ = 72651600. Its totient is φ = 5939200.

The previous prime is 22853399. The next prime is 22853429. The reversal of 22853400 is 435822.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24136 + ... + 25064.

Almost surely, 2^22853400 is an apocalyptic number.

22853400 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 22853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36325800).

22853400 is an abundant number, since it is smaller than the sum of its proper divisors (49798200).

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

22853400 is a wasteful number, since it uses less digits than its factorization.

22853400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22853400 is about 4780.5229839422. The cubic root of 22853400 is about 283.7811909796.

It can be divided in two parts, 228 and 53400, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 22853400 in words is "twenty-two million, eight hundred fifty-three thousand, four hundred".