22132810441 has 27 divisors (see below), whose sum is σ = 26306878773. Its totient is φ = 18566620800.

The previous prime is 22132810439. The next prime is 22132810477. The reversal of 22132810441 is 14401823122.

The square root of 22132810441 is 148771.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13887444025 + 8245366416 = 117845^2 + 90804^2 .

It is not a de Polignac number, because 22132810441 - 2¹ = 22132810439 is a prime.

It is a super-2 number, since 2×22132810441² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22132810241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55193841 + ... + 55194241.

Almost surely, 2^22132810441 is an apocalyptic number.

22132810441 is the 148771-st square number.

22132810441 is the 74386-th centered octagonal number.

It is an amenable number.

22132810441 is a deficient number, since it is larger than the sum of its proper divisors (4174068332).

22132810441 is an frugal number, since it uses more digits than its factorization.

22132810441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 22132810441 in words is "twenty-two billion, one hundred thirty-two million, eight hundred ten thousand, four hundred forty-one".