225170179441 has 27 divisors (see below), whose sum is σ = 242434022283. Its totient is φ = 209092933440.

The previous prime is 225170179439. The next prime is 225170179457. The reversal of 225170179441 is 144971071522.

The square root of 225170179441 is 474521.

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., 175305503025 + 49864676416 = 418695^2 + 223304^2 .

It is not a de Polignac number, because 225170179441 - 2¹ = 225170179439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225170179471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 830886136 + ... + 830886406.

Almost surely, 2^225170179441 is an apocalyptic number.

225170179441 is the 474521-st square number.

225170179441 is the 237261-st centered octagonal number.

It is an amenable number.

225170179441 is a deficient number, since it is larger than the sum of its proper divisors (17263842842).

225170179441 is an frugal number, since it uses more digits than its factorization.

225170179441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 225170179441 in words is "two hundred twenty-five billion, one hundred seventy million, one hundred seventy-nine thousand, four hundred forty-one".