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12223200305 = 53770194253
BaseRepresentation
bin10110110001000111…
…10011110000110001
31011112212002220121102
423120203303300301
5200013114402210
65340521334145
7611621326331
oct133043636061
934485086542
1012223200305
115202750338
122451637355
1311ca482b04
1483d51d0c1
154b815dea5
hex2d88f3c31

12223200305 has 16 divisors (see below), whose sum is σ = 15085918224. Its totient is φ = 9500601600.

The previous prime is 12223200239. The next prime is 12223200383. The reversal of 12223200305 is 50300232221.

12223200305 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 5624400016 + 6598800289 = 74996^2 + 81233^2 .

It is not a de Polignac number, because 12223200305 - 228 = 11954764849 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 82559 + ... + 176811.

It is an arithmetic number, because the mean of its divisors is an integer number (942869889).

Almost surely, 212223200305 is an apocalyptic number.

It is an amenable number.

12223200305 is a deficient number, since it is larger than the sum of its proper divisors (2862717919).

12223200305 is an equidigital number, since it uses as much as digits as its factorization.

12223200305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94996.

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 12223200305 its reverse (50300232221), we get a palindrome (62523432526).

The spelling of 12223200305 in words is "twelve billion, two hundred twenty-three million, two hundred thousand, three hundred five".

Divisors: 1 5 37 185 701 3505 25937 94253 129685 471265 3487361 17436805 66071353 330356765 2444640061 12223200305