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22133223212112 = 2433193078783527
BaseRepresentation
bin1010000100001010010101…
…11010000100010001010000
32220100220201101021202001000
411002011022322010101100
510400112320120241422
6115023510134542000
74443033622112115
oct502051272042120
986326641252030
1022133223212112
117063713544a11
122595697807900
13c4720042791c
1456737a2c490c
15285b08b5ccac
hex14214ae84450

22133223212112 has 160 divisors (see below), whose sum is σ = 67092100275200. Its totient is φ = 6966671213952.

The previous prime is 22133223212071. The next prime is 22133223212201. The reversal of 22133223212112 is 21121232233122.

22133223212112 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 322 + 321 + 2 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 1871908 + ... + 6911619.

It is an arithmetic number, because the mean of its divisors is an integer number (419325626720).

Almost surely, 222133223212112 is an apocalyptic number.

It is an amenable number.

22133223212112 is an abundant number, since it is smaller than the sum of its proper divisors (44958877063088).

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

22133223212112 is a wasteful number, since it uses less digits than its factorization.

22133223212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8783870 (or 8783858 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 22133223212112 its reverse (21121232233122), we get a palindrome (43254455445234).

The spelling of 22133223212112 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred twenty-three million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 307 342 432 456 513 614 684 912 921 1026 1228 1368 1842 2052 2456 2736 2763 3684 4104 4912 5526 5833 7368 8208 8289 11052 11666 14736 16578 17499 22104 23332 33156 34998 44208 46664 52497 66312 69996 93328 104994 132624 139992 157491 209988 279984 314982 419976 629964 839952 1259928 2519856 8783527 17567054 26350581 35134108 52701162 70268216 79051743 105402324 140536432 158103486 166887013 210804648 237155229 316206972 333774026 421609296 474310458 500661039 632413944 667548052 948620916 1001322078 1264827888 1335096104 1501983117 1897241832 2002644156 2670192208 2696542789 3003966234 3794483664 4005288312 4505949351 5393085578 6007932468 8010576624 8089628367 9011898702 10786171156 12015864936 16179256734 18023797404 21572342312 24031729872 24268885101 32358513468 36047594808 43144684624 48537770202 51234312991 64717026936 72095189616 72806655303 97075540404 102468625982 129434053872 145613310606 153702938973 194151080808 204937251964 291226621212 307405877946 388302161616 409874503928 461108816919 582453242424 614811755892 819749007856 922217633838 1164906484848 1229623511784 1383326450757 1844435267676 2459247023568 2766652901514 3688870535352 5533305803028 7377741070704 11066611606056 22133223212112