22181664 has 48 divisors (see below), whose sum is σ = 61296480. Its totient is φ = 7004160.

The previous prime is 22181641. The next prime is 22181701. The reversal of 22181664 is 46618122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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, 4257 + ... + 7904.

It is an arithmetic number, because the mean of its divisors is an integer number (1277010).

Almost surely, 2^22181664 is an apocalyptic number.

22181664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22181664 is an abundant number, since it is smaller than the sum of its proper divisors (39114816).

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

22181664 is a wasteful number, since it uses less digits than its factorization.

22181664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12193 (or 12185 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 22181664 is about 4709.7413941744. The cubic root of 22181664 is about 280.9730769577.

Adding to 22181664 its reverse (46618122), we get a palindrome (68799786).

The spelling of 22181664 in words is "twenty-two million, one hundred eighty-one thousand, six hundred sixty-four".