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22122242102196 = 223213127129359077
BaseRepresentation
bin1010000011110101111000…
…11000011101001110110100
32220022212101002101120010100
411001322330120131032310
510344422322434232241
6115014452343354100
74442164532163315
oct501727430351664
986285332346110
1022122242102196
117059a98a39565
122593532152930
13c461703b5452
14566a17b3060c
152856b4aa09b6
hex141ebc61d3b4

22122242102196 has 144 divisors (see below), whose sum is σ = 56748886242048. Its totient is φ = 7265780870400.

The previous prime is 22122242102179. The next prime is 22122242102249. The reversal of 22122242102196 is 69120124222122.

22122242102196 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 224 + 210 + 219 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22122242102196.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374435010 + ... + 374494086.

It is an arithmetic number, because the mean of its divisors is an integer number (394089487792).

Almost surely, 222122242102196 is an apocalyptic number.

It is an amenable number.

22122242102196 is an abundant number, since it is smaller than the sum of its proper divisors (34626644139852).

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

22122242102196 is a wasteful number, since it uses less digits than its factorization.

22122242102196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59782 (or 59777 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22122242102196 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred forty-two million, one hundred two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 271 293 393 524 542 586 786 813 879 1084 1172 1179 1572 1626 1758 2358 2439 2637 3252 3516 4716 4878 5274 9756 10548 35501 38383 59077 71002 76766 79403 106503 115149 118154 142004 153532 158806 177231 213006 230298 236308 238209 317612 319509 345447 354462 426012 460596 476418 531693 639018 690894 708924 714627 952836 1063386 1278036 1381788 1429254 2126772 2858508 7739087 10401793 15478174 16009867 17309561 20803586 23217261 30956348 31205379 32019734 34619122 41607172 46434522 48029601 51928683 62410758 64039468 69238244 69651783 92869044 93616137 96059202 103857366 124821516 139303566 144088803 155786049 187232274 192118404 207714732 278607132 288177606 311572098 374464548 576355212 623144196 2097292577 2267552491 4194585154 4535104982 4690891031 6291877731 6802657473 8389170308 9070209964 9381782062 12583755462 13605314946 14072673093 18763564124 18875633193 20407972419 25167510924 27210629892 28145346186 37751266386 40815944838 42218019279 56290692372 75502532772 81631889676 84436038558 168872077116 614506725061 1229013450122 1843520175183 2458026900244 3687040350366 5530560525549 7374080700732 11061121051098 22122242102196