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422127017 = 13217349421
BaseRepresentation
bin11001001010010…
…010010110101001
31002102022021101222
4121022102112221
51331031031032
6105515351425
713314010004
oct3112222651
91072267358
10422127017
111a7309304
12b9452575
13695bac00
14400c453b
15270d4a12
hex192925a9

422127017 has 24 divisors (see below), whose sum is σ = 486523800. Its totient is φ = 364815360.

The previous prime is 422127007. The next prime is 422127019. The reversal of 422127017 is 710721224.

It can be written as a sum of positive squares in 12 ways, for example, as 247464361 + 174662656 = 15731^2 + 13216^2 .

It is a de Polignac number, because none of the positive numbers 2k-422127017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422127019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002467 + ... + 1002887.

It is an arithmetic number, because the mean of its divisors is an integer number (20271825).

Almost surely, 2422127017 is an apocalyptic number.

It is an amenable number.

422127017 is a deficient number, since it is larger than the sum of its proper divisors (64396783).

422127017 is a wasteful number, since it uses less digits than its factorization.

422127017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 422127017 is about 20545.7298969883. The cubic root of 422127017 is about 750.1493136793.

The spelling of 422127017 in words is "four hundred twenty-two million, one hundred twenty-seven thousand, seventeen".

Divisors: 1 13 17 169 221 349 421 2873 4537 5473 5933 7157 58981 71149 77129 93041 146929 1002677 1209533 1910077 2497793 24831001 32471309 422127017