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22122242102205 = 32571911633317741
BaseRepresentation
bin1010000011110101111000…
…11000011101001110111101
32220022212101002101120010200
411001322330120131032331
510344422322434232310
6115014452343354113
74442164532163330
oct501727430351675
986285332346120
1022122242102205
117059a98a39573
122593532152939
13c461703b545b
14566a17b30617
152856b4aa09c0
hex141ebc61d3bd

22122242102205 has 96 divisors (see below), whose sum is σ = 46133698141440. Its totient is φ = 9579906754560.

The previous prime is 22122242102179. The next prime is 22122242102249. The reversal of 22122242102205 is 50220124222122.

22122242102205 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 224 + 210 + 220 + 5 = 666.

It is not a de Polignac number, because 22122242102205 - 212 = 22122242098109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69464635 + ... + 69782375.

It is an arithmetic number, because the mean of its divisors is an integer number (480559355640).

Almost surely, 222122242102205 is an apocalyptic number.

It is an amenable number.

22122242102205 is an abundant number, since it is smaller than the sum of its proper divisors (24011456039235).

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

22122242102205 is a wasteful number, since it uses less digits than its factorization.

22122242102205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329411 (or 329408 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 22122242102205 its reverse (50220124222122), we get a palindrome (72342366324327).

The spelling of 22122242102205 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred forty-two million, one hundred two thousand, two hundred five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 11633 34899 58165 81431 104697 174495 221027 244293 317741 407155 523485 663081 732879 953223 1105135 1221465 1547189 1588705 1989243 2224187 2859669 3315405 3664395 4641567 4766115 6037079 6672561 7735945 9946215 11120935 13924701 14298345 18111237 20017683 23207835 30185395 33362805 42259553 54333711 69623505 90556185 100088415 126778659 211297765 271668555 380335977 633893295 1901679885 3696281053 11088843159 18481405265 25873967371 33266529477 55444215795 70229340007 77621902113 129369836855 166332647385 210688020021 232865706339 351146700035 388109510565 491605380049 632064060063 1053440100105 1164328531695 1474816140147 2458026900245 3160320300315 4424448420441 7374080700735 22122242102205