22205664 has 120 divisors (see below), whose sum is σ = 70436520. Its totient is φ = 6822144.

The previous prime is 22205663. The next prime is 22205693. The reversal of 22205664 is 46650222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205663) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 33367 + ... + 34025.

It is an arithmetic number, because the mean of its divisors is an integer number (586971).

Almost surely, 2^22205664 is an apocalyptic number.

22205664 is a gapful number since it is divisible by the number (24) 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 22205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35218260).

22205664 is an abundant number, since it is smaller than the sum of its proper divisors (48230856).

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

22205664 is a wasteful number, since it uses less digits than its factorization.

22205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22205664 is about 4712.2886159487. The cubic root of 22205664 is about 281.0743756890.

Adding to 22205664 its reverse (46650222), we get a palindrome (68855886).

The spelling of 22205664 in words is "twenty-two million, two hundred five thousand, six hundred sixty-four".