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13222688004 = 22325929321247
BaseRepresentation
bin11000101000010001…
…00011010100000100
31021010111211010222100
430110020203110010
5204040002004004
610024024032100
7645445664541
oct142410432404
937114733870
1013222688004
115675954229
122690302630
131329570a56
148d6175bc8
15525c8d739
hex314223504

13222688004 has 72 divisors (see below), whose sum is σ = 34108139520. Its totient is φ = 4317867072.

The previous prime is 13222687979. The next prime is 13222688021. The reversal of 13222688004 is 40088622231.

It is a super-2 number, since 2×132226880042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13222688004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611709 + ... + 632955.

It is an arithmetic number, because the mean of its divisors is an integer number (473724160).

Almost surely, 213222688004 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 13222688004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054069760).

13222688004 is an abundant number, since it is smaller than the sum of its proper divisors (20885451516).

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

13222688004 is a wasteful number, since it uses less digits than its factorization.

13222688004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21609 (or 21604 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13222688004 in words is "thirteen billion, two hundred twenty-two million, six hundred eighty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 293 354 531 586 708 879 1062 1172 1758 2124 2637 3516 5274 10548 17287 21247 34574 42494 51861 63741 69148 84988 103722 127482 155583 191223 207444 254964 311166 382446 622332 764892 1253573 2507146 3760719 5014292 6225371 7521438 11282157 12450742 15042876 18676113 22564314 24901484 37352226 45128628 56028339 74704452 112056678 224113356 367296889 734593778 1101890667 1469187556 2203781334 3305672001 4407562668 6611344002 13222688004