Search a number
-
+
22202022122010 = 2335727490923041
BaseRepresentation
bin1010000110001010011111…
…01001000101001000011010
32220121111022002120111001000
411003011033221011020122
510402224220130401020
6115115245042205430
74451020543153263
oct503051751051032
986544262514030
1022202022122010
11708a908756235
1225a6a98353876
13c50845a88873
1456a8255a596a
152877d3aba090
hex14314fa4521a

22202022122010 has 128 divisors (see below), whose sum is σ = 59301481075200. Its totient is φ = 5910934487040.

The previous prime is 22202022121931. The next prime is 22202022122047. The reversal of 22202022122010 is 1022122020222.

22202022122010 is a `hidden beast` number, since 2 + 220 + 2 + 0 + 221 + 220 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963576090 + ... + 963599130.

It is an arithmetic number, because the mean of its divisors is an integer number (463292820900).

Almost surely, 222202022122010 is an apocalyptic number.

22202022122010 is an abundant number, since it is smaller than the sum of its proper divisors (37099458953190).

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

22202022122010 is a wasteful number, since it uses less digits than its factorization.

22202022122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28693 (or 28687 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22202022122010 its reverse (1022122020222), we get a palindrome (23224144142232).

The spelling of 22202022122010 in words is "twenty-two trillion, two hundred two billion, twenty-two million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 727 1454 2181 3635 4362 4909 6543 7270 9818 10905 13086 14727 19629 21810 23041 24545 29454 32715 39258 44181 46082 49090 65430 69123 73635 88362 98145 115205 132543 138246 147270 196290 207369 220905 230410 265086 345615 414738 441810 622107 662715 691230 1036845 1244214 1325430 2073690 3110535 3568843 6221070 7137686 10706529 16750807 17844215 21413058 32119587 33501614 35688430 50252421 53532645 64239174 83754035 96358761 100504842 107065290 113108269 150757263 160597935 167508070 192717522 226216538 251262105 301514526 321195870 339324807 452271789 481793805 502524210 565541345 678649614 753786315 904543578 963587610 1017974421 1131082690 1507572630 1696624035 2035948842 2261358945 3053923263 3393248070 4522717890 5089872105 6107846526 10179744210 15269616315 30539232630 82229711563 164459423126 246689134689 411148557815 493378269378 740067404067 822297115630 1233445673445 1480134808134 2220202212201 2466891346890 3700337020335 4440404424402 7400674040670 11101011061005 22202022122010