Search a number
-
+
22202211220112 = 24711412711621931
BaseRepresentation
bin1010000110001010110101…
…11010011011101010010000
32220121111210021101122212102
411003011122322123222100
510402230112033020422
6115115315515215532
74451025330363560
oct503053272335220
986544707348772
1022202211220112
11708a9a5472460
1225a6b2b7475a8
13c50875cc6931
1456a84274ada0
152877e54be192
hex14315ae9ba90

22202211220112 has 160 divisors (see below), whose sum is σ = 55142158675968. Its totient is φ = 8408085120000.

The previous prime is 22202211220043. The next prime is 22202211220157. The reversal of 22202211220112 is 21102211220222.

It is a super-3 number, since 3×222022112201123 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12877787 + ... + 14499717.

Almost surely, 222202211220112 is an apocalyptic number.

22202211220112 is a gapful number since it is divisible by the number (22) 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 22202211220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27571079337984).

22202211220112 is an abundant number, since it is smaller than the sum of its proper divisors (32939947455856).

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

22202211220112 is a wasteful number, since it uses less digits than its factorization.

22202211220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622269 (or 1622263 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22202211220112 its reverse (21102211220222), we get a palindrome (43304422440334).

The spelling of 22202211220112 in words is "twenty-two trillion, two hundred two billion, two hundred eleven million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 271 287 308 328 451 542 574 616 656 902 1084 1148 1232 1804 1897 2168 2296 2981 3157 3608 3794 4336 4592 5962 6314 7216 7588 11111 11924 12628 15176 20867 22222 23848 25256 30352 41734 44444 47696 50512 77777 83468 88888 122221 155554 166936 177776 244442 311108 333872 488884 622216 855547 977768 1244432 1621931 1711094 1955536 3243862 3422188 6487724 6844376 11353517 12975448 13688752 17841241 22707034 25950896 35682482 45414068 66499171 71364964 90828136 124888687 132998342 142729928 181656272 249777374 265996684 285459856 439543301 465494197 499554748 531993368 731490881 879086602 930988394 999109496 1063986736 1462981762 1758173204 1861976788 1998218992 2925963524 3076803107 3516346408 3723953576 4834976311 5120436167 5851927048 6153606214 7032692816 7447907152 9669952622 10240872334 11703854096 12307212428 18021275341 19339905244 20481744668 24614424856 33844834177 36042550682 38679810488 40963489336 49228849712 67689668354 72085101364 77359620976 81926978672 126148927387 135379336708 144170202728 198234028751 252297854774 270758673416 288340405456 396468057502 504595709548 541517346832 792936115004 1009191419096 1387638201257 1585872230008 2018382838192 2775276402514 3171744460016 5550552805028 11101105610056 22202211220112