Search a number
-
+
222201110012112 = 243271120039782649
BaseRepresentation
bin110010100001011100111010…
…001110110010000011010000
31002010202012220101220120001100
4302201130322032302003100
5213111020333130341422
62104325440350104400
764542333434624430
oct6241347216620320
91063665811816040
10222201110012112
1164888a63915950
1220b080921ab100
1396ca6230a103a
143cc283bdda2c0
151aa4e62a397ac
hexca173a3b20d0

222201110012112 has 120 divisors (see below), whose sum is σ = 775299111163200. Its totient is φ = 57714574026240.

The previous prime is 222201110012087. The next prime is 222201110012153. The reversal of 222201110012112 is 211210011102222.

222201110012112 is a `hidden beast` number, since 222 + 201 + 110 + 0 + 121 + 12 = 666.

It is a super-2 number, since 2×2222011100121122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10019880237 + ... + 10019902412.

It is an arithmetic number, because the mean of its divisors is an integer number (6460825926360).

Almost surely, 2222201110012112 is an apocalyptic number.

222201110012112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222201110012112 is an abundant number, since it is smaller than the sum of its proper divisors (553098001151088).

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

222201110012112 is a wasteful number, since it uses less digits than its factorization.

222201110012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20039782681 (or 20039782672 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222201110012112 its reverse (211210011102222), we get a palindrome (433411121114334).

The spelling of 222201110012112 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred ten million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 20039782649 40079565298 60119347947 80159130596 120238695894 140278478543 160318261192 180358043841 220437609139 240477391788 280556957086 320636522384 360716087682 420835435629 440875218278 480954783576 561113914172 661312827417 721432175364 841670871258 881750436556 961909567152 1122227828344 1262506306887 1322625654834 1442864350728 1543063263973 1683341742516 1763500873112 1983938482251 2244455656688 2525012613774 2645251309668 2885728701456 3086126527946 3366683485032 3527001746224 3967876964502 4629189791919 5050025227548 5290502619336 6172253055892 6733366970064 7935753929004 9258379583838 10100050455096 10581005238672 12344506111784 13887569375757 15871507858008 18516759167676 20200100910192 24689012223568 27775138751514 31743015716016 37033518335352 55550277503028 74067036670704 111100555006056 222201110012112