22328129320225 has 27 divisors (see below), whose sum is σ = 27858585693747. Its totient is φ = 17752404781680.

The previous prime is 22328129320193. The next prime is 22328129320249. The reversal of 22328129320225 is 52202392182322.

The square root of 22328129320225 is 4725265.

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

It can be written as a sum of positive squares in only one way, i.e., 8038126555281 + 14290002764944 = 2835159^2 + 3780212^2 .

It is not a de Polignac number, because 22328129320225 - 2⁵ = 22328129320193 is a prime.

It is a super-3 number, since 3×22328129320225³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3945593446 + ... + 3945599104.

Almost surely, 2^{22328129320225} is an apocalyptic number.

22328129320225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22328129320225 is the 4725265-th square number.

22328129320225 is the 2362633-rd centered octagonal number.

It is an amenable number.

22328129320225 is a deficient number, since it is larger than the sum of its proper divisors (5530456373522).

22328129320225 is an frugal number, since it uses more digits than its factorization.

22328129320225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 22328129320225 in words is "twenty-two trillion, three hundred twenty-eight billion, one hundred twenty-nine million, three hundred twenty thousand, two hundred twenty-five".