222002105272065 has 48 divisors (see below), whose sum is σ = 418451027097168. Its totient is φ = 108424557600768.

The previous prime is 222002105272037. The next prime is 222002105272067. The reversal of 222002105272065 is 560272501200222.

222002105272065 is a `hidden beast` number, since 2 + 220 + 0 + 2 + 105 + 272 + 0 + 65 = 666.

222002105272065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 300755721744 + 221701349550321 = 548412^2 + 14889639^2 .

It is not a de Polignac number, because 222002105272065 - 2⁸ = 222002105271809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222002105272067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3921577512 + ... + 3921634121.

It is an arithmetic number, because the mean of its divisors is an integer number (8717729731191).

Almost surely, 2^{222002105272065} is an apocalyptic number.

It is an amenable number.

222002105272065 is a deficient number, since it is larger than the sum of its proper divisors (196448921825103).

222002105272065 is a wasteful number, since it uses less digits than its factorization.

222002105272065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843211698 (or 7843211695 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 222002105272065 its reverse (560272501200222), we get a palindrome (782274606472287).

The spelling of 222002105272065 in words is "two hundred twenty-two trillion, two billion, one hundred five million, two hundred seventy-two thousand, sixty-five".