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22122221000220 = 223251117657225817
BaseRepresentation
bin1010000011110101110110…
…00111111101011000011100
32220022212022121200110122200
411001322323013331120130
510344422302034001340
6115014450311211500
74442164154624445
oct501727307753034
986285277613580
1022122221000220
117059a88036310
122593527076b90
13c46168c07583
14566a14dda2cc
152856b2cd3330
hex141ebb1fd61c

22122221000220 has 144 divisors (see below), whose sum is σ = 77510584071648. Its totient is φ = 5047494266880.

The previous prime is 22122221000213. The next prime is 22122221000261. The reversal of 22122221000220 is 2200012222122.

22122221000220 is a `hidden beast` number, since 2 + 212 + 22 + 210 + 0 + 0 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22122221000193 and 22122221000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328579249 + ... + 328646568.

It is an arithmetic number, because the mean of its divisors is an integer number (538267944942).

Almost surely, 222122221000220 is an apocalyptic number.

22122221000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122221000220 is an abundant number, since it is smaller than the sum of its proper divisors (55388363071428).

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

22122221000220 is a wasteful number, since it uses less digits than its factorization.

22122221000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657225860 (or 657225855 counting only the distinct ones).

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

Adding to 22122221000220 its reverse (2200012222122), we get a palindrome (24322233222342).

The spelling of 22122221000220 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 657225817 1314451634 1971677451 2628903268 3286129085 3943354902 5915032353 6572258170 7229483987 7886709804 9858387255 11172838889 11830064706 13144516340 14458967974 19716774510 21688451961 22345677778 23660129412 28917935948 29575161765 33518516667 36147419935 39433549020 43376903922 44691355556 55864194445 59150323530 65065355883 67037033334 72294839870 86753807844 100555550001 108442259805 111728388890 118300647060 122901227779 130130711766 134074066668 144589679740 167592583335 201111100002 216884519610 223456777780 245802455558 260261423532 325326779415 335185166670 368703683337 402222200004 433769039220 491604911116 502777750005 614506138895 650653558830 670370333340 737407366674 1005555500010 1106111050011 1229012277790 1301307117660 1474814733348 1843518416685 2011111000020 2212222100022 2458024555580 3687036833370 4424444200044 5530555250055 7374073666740 11061110500110 22122221000220