22182662401 has 8 divisors (see below), whose sum is σ = 22335448680. Its totient is φ = 22030397568.

The previous prime is 22182662329. The next prime is 22182662413. The reversal of 22182662401 is 10426628122.

It can be written as a sum of positive squares in 4 ways, for example, as 1526074225 + 20656588176 = 39065^2 + 143724^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22182662401 - 2³³ = 13592727809 is a prime.

It is a super-2 number, since 2×22182662401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22182662441) 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 7 ways as a sum of consecutive naturals, for example, 44796 + ... + 215341.

It is an arithmetic number, because the mean of its divisors is an integer number (2791931085).

Almost surely, 2^22182662401 is an apocalyptic number.

It is an amenable number.

22182662401 is a deficient number, since it is larger than the sum of its proper divisors (152786279).

22182662401 is a wasteful number, since it uses less digits than its factorization.

22182662401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260723.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 22182662401 in words is "twenty-two billion, one hundred eighty-two million, six hundred sixty-two thousand, four hundred one".