Search a number
-
+
22012102202000 = 2453591791042141
BaseRepresentation
bin1010000000101000101111…
…00010000101001010010000
32212221100002020201220202112
411000110113202011022100
510341121241130431000
6114452115315204452
74431215261366501
oct500242742051220
985840066656675
1022012102202000
117017309925359
1225761145a6728
13c38969c14781
1456156a130ba8
152828ba571235
hex140517885290

22012102202000 has 160 divisors (see below), whose sum is σ = 54429826089600. Its totient is φ = 8607242688000.

The previous prime is 22012102201993. The next prime is 22012102202003. The reversal of 22012102202000 is 20220121022.

It is not an unprimeable number, because it can be changed into a prime (22012102202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20600930 + ... + 21643070.

It is an arithmetic number, because the mean of its divisors is an integer number (340186413060).

Almost surely, 222012102202000 is an apocalyptic number.

22012102202000 is a gapful number since it is divisible by the number (20) 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 22012102202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27214913044800).

22012102202000 is an abundant number, since it is smaller than the sum of its proper divisors (32417723887600).

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

22012102202000 is a wasteful number, since it uses less digits than its factorization.

22012102202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042402 (or 1042386 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22012102202000 its reverse (20220121022), we get a palindrome (22032322323022).

The spelling of 22012102202000 in words is "twenty-two trillion, twelve billion, one hundred two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 179 200 236 250 295 358 400 472 500 590 716 895 944 1000 1180 1432 1475 1790 2000 2360 2864 2950 3580 4475 4720 5900 7160 7375 8950 10561 11800 14320 14750 17900 21122 22375 23600 29500 35800 42244 44750 52805 59000 71600 84488 89500 105610 118000 168976 179000 211220 264025 358000 422440 528050 844880 1042141 1056100 1320125 2084282 2112200 2640250 4168564 4224400 5210705 5280500 8337128 10421410 10561000 16674256 20842820 21122000 26053525 41685640 52107050 61486319 83371280 104214100 122972638 130267625 186543239 208428200 245945276 260535250 307431595 373086478 416856400 491890552 521070500 614863190 746172956 932716195 983781104 1042141000 1229726380 1492345912 1537157975 1865432390 2084282000 2459452760 2984691824 3074315950 3730864780 4663580975 4918905520 6148631900 7461729560 7685789875 9327161950 11006051101 12297263800 14923459120 15371579750 18654323900 22012102202 23317904875 24594527600 30743159500 37308647800 44024204404 46635809750 55030255505 61486319000 74617295600 88048408808 93271619500 110060511010 122972638000 176096817616 186543239000 220121022020 275151277525 373086478000 440242044040 550302555050 880484088080 1100605110100 1375756387625 2201210220200 2751512775250 4402420440400 5503025550500 11006051101000 22012102202000