Search a number
-
+
12226509441 = 342361271397
BaseRepresentation
bin10110110001100000…
…11011101010000001
31011120002100000220000
423120300123222001
5200014441300231
65341120310213
7611661421056
oct133060335201
934502300800
1012226509441
115204600563
122452772369
1311cb071093
1483db4102d
154b85b46e6
hex2d8c1ba81

12226509441 has 80 divisors (see below), whose sum is σ = 19491276288. Its totient is φ = 7621257600.

The previous prime is 12226509391. The next prime is 12226509457. The reversal of 12226509441 is 14490562221.

It is a happy number.

12226509441 is a `hidden beast` number, since 122 + 26 + 509 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 12226509441 - 29 = 12226508929 is a prime.

It is a super-2 number, since 2×122265094412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12226509396 and 12226509405.

It is not an unprimeable number, because it can be changed into a prime (12226509041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30797055 + ... + 30797451.

Almost surely, 212226509441 is an apocalyptic number.

It is an amenable number.

12226509441 is a deficient number, since it is larger than the sum of its proper divisors (7264766847).

12226509441 is a wasteful number, since it uses less digits than its factorization.

12226509441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12226509441 in words is "twelve billion, two hundred twenty-six million, five hundred nine thousand, four hundred forty-one".

Divisors: 1 3 9 23 27 61 69 81 183 207 271 397 549 621 813 1191 1403 1647 1863 2439 3573 4209 4941 6233 7317 9131 10719 12627 16531 18699 21951 24217 27393 32157 37881 49593 56097 72651 82179 107587 113643 148779 168291 217953 246537 322761 380213 446337 504873 556991 653859 739611 968283 1140639 1339011 1670973 1961577 2474501 2904849 3421917 5012919 6562807 7423503 8714547 10265751 15038757 19688421 22270509 30797253 45116271 59065263 66811527 150944561 177195789 200434581 452833683 531587367 1358501049 4075503147 12226509441