22355648 has 56 divisors (see below), whose sum is σ = 51206400. Its totient is φ = 9485568.

The previous prime is 22355639. The next prime is 22355653. The reversal of 22355648 is 84655322.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62093 + ... + 62451.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 2^22355648 is an apocalyptic number.

22355648 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 22355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

22355648 is an abundant number, since it is smaller than the sum of its proper divisors (28850752).

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

22355648 is a wasteful number, since it uses less digits than its factorization.

22355648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 22355648 is about 4728.1759696526. The cubic root of 22355648 is about 281.7057776687.

The spelling of 22355648 in words is "twenty-two million, three hundred fifty-five thousand, six hundred forty-eight".