22153034303401 has 9 divisors (see below), whose sum is σ = 22375023070309. Its totient is φ = 21933226660000.

The previous prime is 22153034303357. The next prime is 22153034303417. The reversal of 22153034303401 is 10430343035122.

It is a happy number.

The square root of 22153034303401 is 4706701.

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 409278783001 + 21743755520400 = 639749^2 + 4663020^2 .

It is not a de Polignac number, because 22153034303401 - 2²⁵ = 22153000748969 is a prime.

It is a super-2 number, since 2×22153034303401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22153034307401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 475353501 + ... + 475400101.

Almost surely, 2^{22153034303401} is an apocalyptic number.

22153034303401 is the 4706701-st square number.

22153034303401 is the 2353351-st centered octagonal number.

It is an amenable number.

22153034303401 is a deficient number, since it is larger than the sum of its proper divisors (221988766908).

22153034303401 is an frugal number, since it uses more digits than its factorization.

22153034303401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93404 (or 46702 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 22153034303401 its reverse (10430343035122), we get a palindrome (32583377338523).

The spelling of 22153034303401 in words is "twenty-two trillion, one hundred fifty-three billion, thirty-four million, three hundred three thousand, four hundred one".