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12224026206 = 2327313977883
BaseRepresentation
bin10110110001001101…
…11101011001011110
31011112220122212112100
423120212331121132
5200013322314311
65340551145530
7611631336240
oct133046753136
934486585470
1012224026206
1152031648a7
1224519752a6
1311ca6b1a02
1483d696090
154b8273a56
hex2d89bd65e

12224026206 has 96 divisors (see below), whose sum is σ = 31328114688. Its totient is φ = 3370973760.

The previous prime is 12224026189. The next prime is 12224026207. The reversal of 12224026206 is 60262042221.

It is a happy number.

12224026206 is a `hidden beast` number, since 12 + 2 + 24 + 0 + 2 + 620 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12224026206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224026207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546741 + ... + 1554623.

It is an arithmetic number, because the mean of its divisors is an integer number (326334528).

Almost surely, 212224026206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12224026206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664057344).

12224026206 is an abundant number, since it is smaller than the sum of its proper divisors (19104088482).

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

12224026206 is a wasteful number, since it uses less digits than its factorization.

12224026206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12224026206 its reverse (60262042221), we get a palindrome (72486068427).

The spelling of 12224026206 in words is "twelve billion, two hundred twenty-four million, twenty-six thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 397 434 558 651 794 1191 1302 1953 2382 2779 3573 3906 5558 7146 7883 8337 12307 15766 16674 23649 24614 25011 36921 47298 50022 55181 70947 73842 86149 110362 110763 141894 165543 172298 221526 244373 258447 331086 488746 496629 516894 733119 775341 993258 1466238 1550682 1710611 2199357 3129551 3421222 4398714 5131833 6259102 9388653 10263666 15395499 18777306 21906857 28165959 30790998 43813714 56331918 65720571 97016081 131441142 194032162 197161713 291048243 394323426 582096486 679112567 873144729 1358225134 1746289458 2037337701 4074675402 6112013103 12224026206