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12226665217 = 131755324277
BaseRepresentation
bin10110110001100010…
…00001101100000001
31011120002121221120111
423120301001230001
5200020011241332
65341123511321
7611662640164
oct133061015401
934502557514
1012226665217
1152046a75a8
122452828541
1311cb0c6c60
1483db81adb
154b85e5947
hex2d8c41b01

12226665217 has 8 divisors (see below), whose sum is σ = 13941718056. Its totient is φ = 10622260992.

The previous prime is 12226665173. The next prime is 12226665257. The reversal of 12226665217 is 71256662221.

It can be written as a sum of positive squares in 4 ways, for example, as 1969229376 + 10257435841 = 44376^2 + 101279^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12226665217 - 219 = 12226140929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12226665217.

It is not an unprimeable number, because it can be changed into a prime (12226665257) 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 7 ways as a sum of consecutive naturals, for example, 27661918 + ... + 27662359.

It is an arithmetic number, because the mean of its divisors is an integer number (1742714757).

Almost surely, 212226665217 is an apocalyptic number.

12226665217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12226665217 is a deficient number, since it is larger than the sum of its proper divisors (1715052839).

12226665217 is a wasteful number, since it uses less digits than its factorization.

12226665217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55324307.

The product of its digits is 120960, while the sum is 40.

The spelling of 12226665217 in words is "twelve billion, two hundred twenty-six million, six hundred sixty-five thousand, two hundred seventeen".

Divisors: 1 13 17 221 55324277 719215601 940512709 12226665217