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22413633631422 = 23112431634404733
BaseRepresentation
bin1010001100010100101001…
…01010111011010010111110
32221100201111122221221222120
411012022110222323102332
510414211110202201142
6115400403043223410
74502221510256355
oct506122452732276
987321448857876
1022413633631422
117161628954300
12261bab4677b66
13c6779a8ca867
14576b7b85899c
1528d06b6217ec
hex146294abb4be

22413633631422 has 96 divisors (see below), whose sum is σ = 50728158628224. Its totient is φ = 6593355236160.

The previous prime is 22413633631393. The next prime is 22413633631423.

22413633631422 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×224136336314222 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413633631423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2886168 + ... + 7290900.

It is an arithmetic number, because the mean of its divisors is an integer number (528418319044).

Almost surely, 222413633631422 is an apocalyptic number.

22413633631422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22413633631422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25364079314112).

22413633631422 is an abundant number, since it is smaller than the sum of its proper divisors (28314524996802).

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

22413633631422 is a wasteful number, since it uses less digits than its factorization.

22413633631422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404966 (or 4404955 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 2241363 and 3631422, that added together give a palindrome (5872785).

The spelling of 22413633631422 in words is "twenty-two trillion, four hundred thirteen billion, six hundred thirty-three million, six hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 121 129 163 242 258 326 363 473 489 726 946 978 1419 1793 2838 3586 5203 5379 7009 10406 10758 14018 15609 19723 21027 31218 39446 42054 59169 77099 118338 154198 231297 462594 848089 1696178 2544267 4404733 5088534 8809466 13214199 26428398 48452063 96904126 145356189 189403519 290712378 378807038 532972693 568210557 717971479 1065945386 1136421114 1435942958 1598918079 2083438709 2153914437 3197836158 4166877418 4307828874 6250316127 7897686269 12500632254 15795372538 22917825799 23693058807 30872773597 45835651598 47386117614 61745547194 68753477397 86874548959 92618320791 137506954794 173749097918 185236641582 260623646877 339600509567 521247293754 679201019134 1018801528701 2037603057402 3735605605237 7471211210474 11206816815711 22413633631422