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12224549688 = 233131910918919
BaseRepresentation
bin10110110001010001…
…11101001100111000
31011112221122110121120
423120220331030320
5200013441042223
65341010305240
7611635646361
oct133050751470
934487573546
1012224549688
11520349212a
122451b88220
1311ca836070
1483d790b68
154b8328be3
hex2d8a3d338

12224549688 has 128 divisors (see below), whose sum is σ = 34964160000. Its totient is φ = 3530552832.

The previous prime is 12224549671. The next prime is 12224549717. The reversal of 12224549688 is 88694542221.

12224549688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12224549688.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 636693 + ... + 655611.

It is an arithmetic number, because the mean of its divisors is an integer number (273157500).

Almost surely, 212224549688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12224549688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482080000).

12224549688 is an abundant number, since it is smaller than the sum of its proper divisors (22739610312).

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

12224549688 is a wasteful number, since it uses less digits than its factorization.

12224549688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19069 (or 19065 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 12224549688 in words is "twelve billion, two hundred twenty-four million, five hundred forty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 109 114 152 156 218 228 247 312 327 436 456 494 654 741 872 988 1308 1417 1482 1976 2071 2616 2834 2964 4142 4251 5668 5928 6213 8284 8502 11336 12426 16568 17004 18919 24852 26923 34008 37838 49704 53846 56757 75676 80769 107692 113514 151352 161538 215384 227028 245947 323076 359461 454056 491894 646152 718922 737841 983788 1078383 1437844 1475682 1967576 2062171 2156766 2875688 2951364 4124342 4313532 4672993 5902728 6186513 8248684 8627064 9345986 12373026 14018979 16497368 18691972 24746052 26808223 28037958 37383944 39181249 49492104 53616446 56075916 78362498 80424669 107232892 112151832 117543747 156724996 160849338 214465784 235087494 313449992 321698676 470174988 509356237 643397352 940349976 1018712474 1528068711 2037424948 3056137422 4074849896 6112274844 12224549688