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12226290417 = 341113721987
BaseRepresentation
bin10110110001011111…
…00110001011110001
31011120001220220110000
423120233212023301
5200014412243132
65341111500213
7611656516365
oct133057461361
934501826400
1012226290417
115204470a50
122452687669
1311cacc5493
1483dac52a5
154b856e87c
hex2d8be62f1

12226290417 has 20 divisors (see below), whose sum is σ = 19924326576. Its totient is φ = 7409872440.

The previous prime is 12226290341. The next prime is 12226290421. The reversal of 12226290417 is 71409262221.

12226290417 is a `hidden beast` number, since 1 + 2 + 22 + 629 + 0 + 4 + 1 + 7 = 666.

It is not a de Polignac number, because 12226290417 - 27 = 12226290289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12226290497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6860103 + ... + 6861884.

Almost surely, 212226290417 is an apocalyptic number.

It is an amenable number.

12226290417 is a deficient number, since it is larger than the sum of its proper divisors (7698036159).

12226290417 is a wasteful number, since it uses less digits than its factorization.

12226290417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13722010 (or 13722001 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12226290417 in words is "twelve billion, two hundred twenty-six million, two hundred ninety thousand, four hundred seventeen".

Divisors: 1 3 9 11 27 33 81 99 297 891 13721987 41165961 123497883 150941857 370493649 452825571 1111480947 1358476713 4075430139 12226290417