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13222212234 = 23721128314447
BaseRepresentation
bin11000101000001101…
…01111001010001010
31021010110220222100020
430110012233022022
5204034341242414
610024005521310
7645441643500
oct142406571212
937113828306
1013222212234
115675659830
122690113236
13132943532a
148d6090670
15525be77a9
hex3141af28a

13222212234 has 96 divisors (see below), whose sum is σ = 33679328256. Its totient is φ = 3421968480.

The previous prime is 13222212209. The next prime is 13222212257. The reversal of 13222212234 is 43221222231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907999 + ... + 922445.

It is an arithmetic number, because the mean of its divisors is an integer number (350826336).

Almost surely, 213222212234 is an apocalyptic number.

13222212234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222212234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16839664128).

13222212234 is an abundant number, since it is smaller than the sum of its proper divisors (20457116022).

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

13222212234 is a wasteful number, since it uses less digits than its factorization.

13222212234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760 (or 14753 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 13222212234 its reverse (43221222231), we get a palindrome (56443434465).

It can be divided in two parts, 13222 and 212234, that added together give a triangular number (225456 = T671).

The spelling of 13222212234 in words is "thirteen billion, two hundred twenty-two million, two hundred twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 283 294 462 539 566 849 1078 1617 1698 1981 3113 3234 3962 5943 6226 9339 11886 13867 14447 18678 21791 27734 28894 41601 43341 43582 65373 83202 86682 101129 130746 152537 158917 202258 303387 305074 317834 457611 476751 606774 707903 915222 953502 1112419 1415806 2123709 2224838 3337257 4088501 4247418 6674514 7786933 8177002 12265503 15573866 23360799 24531006 28619507 44973511 46721598 57239014 85858521 89947022 134920533 171717042 200336549 269841066 314814577 400673098 601009647 629629154 944443731 1202019294 1888887462 2203702039 4407404078 6611106117 13222212234