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12222533466 = 232111342111279
BaseRepresentation
bin10110110001000010…
…10000111101011010
31011112210212000212200
423120201100331122
5200012432032331
65340455151030
7611612551233
oct133041207532
934483760780
1012222533466
115202335330
122451375476
1311ca2ab430
1483d3c808a
154b807b5e6
hex2d8850f5a

12222533466 has 96 divisors (see below), whose sum is σ = 31188568320. Its totient is φ = 3410467200.

The previous prime is 12222533443. The next prime is 12222533471. The reversal of 12222533466 is 66433522221.

12222533466 is a `hidden beast` number, since 122 + 22 + 53 + 3 + 466 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12222533466.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078015 + ... + 1089293.

It is an arithmetic number, because the mean of its divisors is an integer number (324880920).

Almost surely, 212222533466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222533466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15594284160).

12222533466 is an abundant number, since it is smaller than the sum of its proper divisors (18966034854).

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

12222533466 is a wasteful number, since it uses less digits than its factorization.

12222533466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732 (or 11729 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 12222533466 in words is "twelve billion, two hundred twenty-two million, five hundred thirty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 421 429 842 858 1263 1287 2526 2574 3789 4631 5473 7578 9262 10946 11279 13893 16419 22558 27786 32838 33837 41679 49257 60203 67674 83358 98514 101511 120406 124069 146627 180609 203022 248138 293254 361218 372207 439881 541827 744414 879762 1083654 1116621 1319643 1612897 2233242 2639286 3225794 4748459 4838691 9496918 9677382 14245377 14516073 28490754 29032146 42736131 52233049 61729967 85472262 104466098 123459934 156699147 185189901 313398294 370379802 470097441 555569703 679029637 940194882 1111139406 1358059274 2037088911 4074177822 6111266733 12222533466