22505868 has 144 divisors (see below), whose sum is σ = 74221056. Its totient is φ = 5575680.

The previous prime is 22505837. The next prime is 22505869. The reversal of 22505868 is 86850522.

22505868 is a `hidden beast` number, since 22 + 50 + 586 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22505869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 63580 + ... + 63932.

It is an arithmetic number, because the mean of its divisors is an integer number (515424).

Almost surely, 2^22505868 is an apocalyptic number.

22505868 is a gapful number since it is divisible by the number (28) 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 22505868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37110528).

22505868 is an abundant number, since it is smaller than the sum of its proper divisors (51715188).

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

22505868 is a wasteful number, since it uses less digits than its factorization.

22505868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 22505868 is about 4744.0349914392. The cubic root of 22505868 is about 282.3353487507.

It can be divided in two parts, 2250 and 5868, that added together give a palindrome (8118).

The spelling of 22505868 in words is "twenty-two million, five hundred five thousand, eight hundred sixty-eight".