Search a number
-
+
22022110012112 = 2473167257368359
BaseRepresentation
bin1010000000111011011000…
…00010110110001011010000
32212222021220201012100100022
411000131230002312023100
510341302240130341422
6114500452341243012
74432021262360450
oct500355402661320
985867821170308
1022022110012112
117020584a94201
122578048103468
13c398a3407ac2
14561c39327d60
15282ca3e73342
hex14076c0b62d0

22022110012112 has 160 divisors (see below), whose sum is σ = 51286462218240. Its totient is φ = 8962238545920.

The previous prime is 22022110012087. The next prime is 22022110012127. The reversal of 22022110012112 is 21121001122022.

22022110012112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59600189 + ... + 59968547.

It is an arithmetic number, because the mean of its divisors is an integer number (320540388864).

Almost surely, 222022110012112 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 22022110012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25643231109120).

22022110012112 is an abundant number, since it is smaller than the sum of its proper divisors (29264352206128).

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

22022110012112 is a wasteful number, since it uses less digits than its factorization.

22022110012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368729 (or 368723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22022110012112 its reverse (21121001122022), we get a palindrome (43143111134134).

The spelling of 22022110012112 in words is "twenty-two trillion, twenty-two billion, one hundred ten million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 67 112 124 134 217 248 257 268 434 469 496 514 536 868 938 1028 1072 1736 1799 1876 2056 2077 3472 3598 3752 4112 4154 7196 7504 7967 8308 14392 14539 15934 16616 17219 28784 29078 31868 33232 34438 55769 58156 63736 68876 111538 116312 120533 127472 137752 223076 232624 241066 275504 368359 446152 482132 533789 736718 892304 964264 1067578 1473436 1928528 2135156 2578513 2946872 3736523 4270312 5157026 5893744 7473046 8540624 10314052 11419129 14946092 20628104 22838258 24680053 29892184 41256208 45676516 49360106 59784368 79933903 91353032 94668263 98720212 159867806 172760371 182706064 189336526 197440424 319735612 345520742 378673052 394880848 639471224 662677841 691041484 757346104 765081643 1278942448 1325355682 1382082968 1514692208 1530163286 2650711364 2764165936 2934716153 3060326572 5301422728 5355571501 5869432306 6120653144 6342773621 10602845456 10711143002 11738864612 12241306288 12685547242 20543013071 21422286004 23477729224 25371094484 41086026142 42844572008 44399415347 46955458448 50742188968 82172052284 85689144016 88798830694 101484377936 164344104568 177597661388 196625982251 328688209136 355195322776 393251964502 710390645552 786503929004 1376381875757 1573007858008 2752763751514 3146015716016 5505527503028 11011055006056 22022110012112