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12224662016 = 29719315791
BaseRepresentation
bin10110110001010010…
…11000101000000000
31011112221212011200212
423120221120220000
5200014003141031
65341012533252
7611636625020
oct133051305000
934487764625
1012224662016
115203559566
122452021228
1311ca875228
1483d7bda80
154b834c12b
hex2d8a58a00

12224662016 has 160 divisors (see below), whose sum is σ = 30337105920. Its totient is φ = 4802457600.

The previous prime is 12224661983. The next prime is 12224662019. The reversal of 12224662016 is 61026642221.

It is a super-2 number, since 2×122246620162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12224662019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2108081 + ... + 2113871.

It is an arithmetic number, because the mean of its divisors is an integer number (189606912).

Almost surely, 212224662016 is an apocalyptic number.

12224662016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12224662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168552960).

12224662016 is an abundant number, since it is smaller than the sum of its proper divisors (18112443904).

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

12224662016 is an equidigital number, since it uses as much as digits as its factorization.

12224662016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 12224662016 in words is "twelve billion, two hundred twenty-four million, six hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 128 133 152 217 224 248 256 266 304 434 448 496 512 532 589 608 868 896 992 1064 1178 1216 1736 1792 1984 2128 2356 2432 3472 3584 3968 4123 4256 4712 4864 5791 6944 7936 8246 8512 9424 9728 11582 13888 15872 16492 17024 18848 23164 27776 32984 34048 37696 40537 46328 55552 65968 68096 75392 81074 92656 110029 111104 131936 150784 162148 179521 185312 220058 263872 301568 324296 359042 370624 440116 527744 648592 718084 741248 770203 880232 1055488 1256647 1297184 1436168 1482496 1540406 1760464 2110976 2513294 2594368 2872336 2964992 3080812 3410899 3520928 5026588 5188736 5744672 6161624 6821798 7041856 10053176 10377472 11489344 12323248 13643596 14083712 20106352 20754944 22978688 23876293 24646496 27287192 28167424 40212704 45957376 47752586 49292992 54574384 56334848 80425408 91914752 95505172 98585984 109148768 160850816 191010344 197171968 218297536 321701632 382020688 394343936 436595072 643403264 764041376 873190144 1528082752 1746380288 3056165504 6112331008 12224662016