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13221222664 = 23132331317659
BaseRepresentation
bin11000101000000101…
…11101100100001000
31021010102001200220111
430110002331210020
5204034113111124
610023532404104
7645430352446
oct142402754410
937112050814
1013221222664
115675043301
12268b916634
131329179aa0
148d5cb3b96
15525a9e494
hex3140bd908

13221222664 has 64 divisors (see below), whose sum is σ = 27948009600. Its totient is φ = 5817816576.

The previous prime is 13221222629. The next prime is 13221222683. The reversal of 13221222664 is 46622212231.

It is a super-3 number, since 3×132212226643 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739867 + ... + 757525.

It is an arithmetic number, because the mean of its divisors is an integer number (436687650).

Almost surely, 213221222664 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 13221222664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974004800).

13221222664 is an abundant number, since it is smaller than the sum of its proper divisors (14726786936).

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

13221222664 is a wasteful number, since it uses less digits than its factorization.

13221222664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18014 (or 18010 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

Adding to 13221222664 its reverse (46622212231), we get a palindrome (59843434895).

The spelling of 13221222664 in words is "thirteen billion, two hundred twenty-one million, two hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 313 598 626 1196 1252 2392 2504 4069 7199 8138 14398 16276 17659 28796 32552 35318 57592 70636 93587 141272 187174 229567 374348 406157 459134 748696 812314 918268 1624628 1836536 3249256 5280041 5527267 10560082 11054534 21120164 22109068 42240328 44218136 71854471 127127141 143708942 254254282 287417884 508508564 574835768 1017017128 1652652833 3305305666 6610611332 13221222664