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12265442226 = 2339710612207
BaseRepresentation
bin10110110110001001…
…11100101110110010
31011122210121000122000
423123010330232302
5200104423122401
65345030554430
7612643352532
oct133304745662
934583530560
1012265442226
115224582314
122463808a16
131206152c2b
14844d974c2
154bbc05186
hex2db13cbb2

12265442226 has 64 divisors (see below), whose sum is σ = 27575976960. Its totient is φ = 4040686080.

The previous prime is 12265442219. The next prime is 12265442257. The reversal of 12265442226 is 62224456221.

12265442226 is a `hidden beast` number, since 1 + 226 + 5 + 4 + 422 + 2 + 6 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5556415 + ... + 5558621.

It is an arithmetic number, because the mean of its divisors is an integer number (430874640).

Almost surely, 212265442226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12265442226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787988480).

12265442226 is an abundant number, since it is smaller than the sum of its proper divisors (15310534734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12265442226 is a wasteful number, since it uses less digits than its factorization.

12265442226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3370 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 12265442226 its reverse (62224456221), we get a palindrome (74489898447).

The spelling of 12265442226 in words is "twelve billion, two hundred sixty-five million, four hundred forty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1061 1746 2122 2207 2619 3183 4414 5238 6366 6621 9549 13242 19098 19863 28647 39726 57294 59589 102917 119178 205834 214079 308751 428158 617502 642237 926253 1284474 1852506 1926711 2341627 2778759 3853422 4683254 5557518 5780133 7024881 11560266 14049762 21074643 42149286 63223929 126447858 227137819 454275638 681413457 1362826914 2044240371 4088480742 6132721113 12265442226