22553856 has 144 divisors (see below), whose sum is σ = 72112320. Its totient is φ = 6912000.

The previous prime is 22553827. The next prime is 22553873. The reversal of 22553856 is 65835522.

It is a happy number.

22553856 is a `hidden beast` number, since 22 + 553 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22553856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89731 + ... + 89981.

It is an arithmetic number, because the mean of its divisors is an integer number (500780).

Almost surely, 2^22553856 is an apocalyptic number.

22553856 is a gapful number since it is divisible by the number (26) 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 22553856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36056160).

22553856 is an abundant number, since it is smaller than the sum of its proper divisors (49558464).

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

22553856 is a wasteful number, since it uses less digits than its factorization.

22553856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 22553856 is about 4749.0900180982. The cubic root of 22553856 is about 282.5358755702.

It can be divided in two parts, 22553 and 856, that added together give a square (23409 = 153²).

The spelling of 22553856 in words is "twenty-two million, five hundred fifty-three thousand, eight hundred fifty-six".