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12225622815 = 355713110973
BaseRepresentation
bin10110110001011010…
…00011001100011111
31011120000122222200000
423120231003030133
5200014224412230
65341045305343
7611651036130
oct133055031437
934500588600
1012225622815
11520405540a
122452405253
1311cab20653
1483d98dc87
154b848bb60
hex2d8b4331f

12225622815 has 96 divisors (see below), whose sum is σ = 25309380096. Its totient is φ = 5545687680.

The previous prime is 12225622781. The next prime is 12225622831. The reversal of 12225622815 is 51822652221.

12225622815 is a `hidden beast` number, since 1 + 2 + 2 + 25 + 622 + 8 + 1 + 5 = 666.

It is not a de Polignac number, because 12225622815 - 213 = 12225614623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12225622815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1108669 + ... + 1119641.

It is an arithmetic number, because the mean of its divisors is an integer number (263639376).

Almost surely, 212225622815 is an apocalyptic number.

12225622815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12225622815 is an abundant number, since it is smaller than the sum of its proper divisors (13083757281).

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

12225622815 is a wasteful number, since it uses less digits than its factorization.

12225622815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11131 (or 11119 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 12225622815 in words is "twelve billion, two hundred twenty-five million, six hundred twenty-two thousand, eight hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 131 135 189 243 315 393 405 567 655 917 945 1179 1215 1701 1965 2751 2835 3537 4585 5895 8253 8505 10611 10973 13755 17685 24759 31833 32919 41265 53055 54865 74277 76811 98757 123795 159165 164595 222831 230433 296271 371385 384055 493785 691299 888813 1114155 1152165 1437463 1481355 2073897 2666439 3456495 4312389 4444065 6221691 7187315 10062241 10369485 12937167 13332195 18665073 21561945 30186723 31108455 38811501 50311205 64685835 90560169 93325365 116434503 150933615 194057505 271680507 349303509 452800845 582172515 815041521 1358402535 1746517545 2445124563 4075207605 12225622815