225272190767 has 24 divisors (see below), whose sum is σ = 257023353600. Its totient is φ = 196806643488.

The previous prime is 225272190697. The next prime is 225272190769. The reversal of 225272190767 is 767091272522.

It is not a de Polignac number, because 225272190767 - 2²⁰ = 225271142191 is a prime.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225272190769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3302468 + ... + 3369990.

It is an arithmetic number, because the mean of its divisors is an integer number (10709306400).

Almost surely, 2^225272190767 is an apocalyptic number.

225272190767 is a deficient number, since it is larger than the sum of its proper divisors (31751162833).

225272190767 is a wasteful number, since it uses less digits than its factorization.

225272190767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68607 (or 68594 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 225272190767 in words is "two hundred twenty-five billion, two hundred seventy-two million, one hundred ninety thousand, seven hundred sixty-seven".