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12224221002 = 233726017687
BaseRepresentation
bin10110110001001111…
…01100111101001010
31011112221000202202000
423120213230331022
5200013400033002
65340555251430
7611633110200
oct133047547512
934487022660
1012224221002
115203288194
122451a49b76
1311ca74c586
1483d707070
154b82b161c
hex2d89ecf4a

12224221002 has 96 divisors (see below), whose sum is σ = 31656723840. Its totient is φ = 3486369600.

The previous prime is 12224220977. The next prime is 12224221003. The reversal of 12224221002 is 20012242221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12224221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1586403 + ... + 1594089.

It is an arithmetic number, because the mean of its divisors is an integer number (329757540).

Almost surely, 212224221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12224221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828361920).

12224221002 is an abundant number, since it is smaller than the sum of its proper divisors (19432502838).

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

12224221002 is a wasteful number, since it uses less digits than its factorization.

12224221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12224221002 its reverse (20012242221), we get a palindrome (32236463223).

It can be divided in two parts, 1222 and 4221002, that added together give a palindrome (4222224).

The spelling of 12224221002 in words is "twelve billion, two hundred twenty-four million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 601 882 1202 1323 1803 2646 3606 4207 5409 7687 8414 10818 12621 15374 16227 23061 25242 29449 32454 37863 46122 53809 58898 69183 75726 88347 107618 113589 138366 161427 176694 207549 227178 265041 322854 376663 415098 484281 530082 753326 795123 968562 1129989 1452843 1590246 2259978 2905686 3389967 4619887 6779934 9239774 10169901 13859661 20339802 27719322 32339209 41578983 64678418 83157966 97017627 124736949 194035254 226374463 249473898 291052881 452748926 582105762 679123389 873158643 1358246778 1746317286 2037370167 4074740334 6112110501 12224221002