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22142538264 = 23372112155609
BaseRepresentation
bin10100100111110011…
…000101001000011000
32010011011002111012210
4110213303011020120
5330321442211024
614101103235120
71412466320100
oct244763051030
963134074183
1022142538264
119432981800
12435b5a8aa0
13211b53a762
141100a86200
15898dd7129
hex527cc5218

22142538264 has 144 divisors (see below), whose sum is σ = 70780764600. Its totient is φ = 5751271680.

The previous prime is 22142538263. The next prime is 22142538331. The reversal of 22142538264 is 46283524122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142538263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64492 + ... + 220100.

Almost surely, 222142538264 is an apocalyptic number.

22142538264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142538264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35390382300).

22142538264 is an abundant number, since it is smaller than the sum of its proper divisors (48638226336).

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

22142538264 is a wasteful number, since it uses less digits than its factorization.

22142538264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155654 (or 155632 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The spelling of 22142538264 in words is "twenty-two billion, one hundred forty-two million, five hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 363 392 462 484 539 588 616 726 847 924 968 1078 1176 1452 1617 1694 1848 2156 2541 2904 3234 3388 4312 5082 5929 6468 6776 10164 11858 12936 17787 20328 23716 35574 47432 71148 142296 155609 311218 466827 622436 933654 1089263 1244872 1711699 1867308 2178526 3267789 3423398 3734616 4357052 5135097 6535578 6846796 7624841 8714104 10270194 11981893 13071156 13693592 15249682 18828689 20540388 22874523 23963786 26142312 30499364 35945679 37657378 41080776 45749046 47927572 56486067 60998728 71891358 75314756 83873251 91498092 95855144 112972134 131800823 143782716 150629512 167746502 182996184 225944268 251619753 263601646 287565432 335493004 395402469 451888536 503239506 527203292 670986008 790804938 922605761 1006479012 1054406584 1581609876 1845211522 2012958024 2767817283 3163219752 3690423044 5535634566 7380846088 11071269132 22142538264