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12226442475 = 35213103211577
BaseRepresentation
bin10110110001100000…
…01011010011101011
31011120002012122000210
423120300023103223
5200014432124400
65341115032203
7611661021612
oct133060132353
934502178023
1012226442475
115204565215
12245273b663
1311cb049760
1483db24879
154b859e950
hex2d8c0b4eb

12226442475 has 96 divisors (see below), whose sum is σ = 22123139584. Its totient is φ = 5922201600.

The previous prime is 12226442461. The next prime is 12226442497. The reversal of 12226442475 is 57424462221.

12226442475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12226442475 - 211 = 12226440427 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21189387 + ... + 21189963.

Almost surely, 212226442475 is an apocalyptic number.

12226442475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12226442475 is a deficient number, since it is larger than the sum of its proper divisors (9896697109).

12226442475 is a wasteful number, since it uses less digits than its factorization.

12226442475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 912 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The spelling of 12226442475 in words is "twelve billion, two hundred twenty-six million, four hundred forty-two thousand, four hundred seventy-five".

Divisors: 1 3 5 13 15 25 39 65 75 103 195 211 309 325 515 577 633 975 1055 1339 1545 1731 2575 2743 2885 3165 4017 5275 6695 7501 7725 8229 8655 13715 14425 15825 20085 21733 22503 33475 37505 41145 43275 59431 65199 68575 100425 108665 112515 121747 178293 187525 205725 282529 297155 325995 365241 543325 562575 608735 772603 847587 891465 1412645 1485775 1582711 1629975 1826205 2317809 3043675 3863015 4237935 4457325 4748133 7063225 7913555 9131025 11589045 12539941 19315075 21189675 23740665 37619823 39567775 57945225 62699705 118703325 163019233 188099115 313498525 489057699 815096165 940495575 2445288495 4075480825 12226442475