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222111141111222 = 231131011391981093
BaseRepresentation
bin110010100000001001000111…
…101010101010010110110110
31002010102121200022112211212220
4302200021013222222112312
5213103032104111024342
62104220241040223210
764533000063605016
oct6240110752522666
91063377608484786
10222111141111222
1164853895806000
1220ab276390ab06
1396c1cb584a0cc
143cbc3452b5c46
151aa29492a25ec
hexca0247aaa5b6

222111141111222 has 128 divisors (see below), whose sum is σ = 496999112117760. Its totient is φ = 66160548432000.

The previous prime is 222111141111151. The next prime is 222111141111241.

222111141111222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222111141111192 and 222111141111201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111124908 + ... + 113106000.

It is an arithmetic number, because the mean of its divisors is an integer number (3882805563420).

Almost surely, 2222111141111222 is an apocalyptic number.

222111141111222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222111141111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248499556058880).

222111141111222 is an abundant number, since it is smaller than the sum of its proper divisors (274887971006538).

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

222111141111222 is a wasteful number, since it uses less digits than its factorization.

222111141111222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981371 (or 1981349 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The spelling of 222111141111222 in words is "two hundred twenty-two trillion, one hundred eleven billion, one hundred forty-one million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 139 202 242 278 303 363 417 606 726 834 1111 1331 1529 2222 2662 3058 3333 3993 4587 6666 7986 9174 12221 14039 16819 24442 28078 33638 36663 42117 50457 73326 84234 100914 134431 154429 185009 268862 308858 370018 403293 463287 555027 806586 926574 1110054 1698719 1981093 3397438 3962186 5096157 5943279 10192314 11886558 18685909 21792023 37371818 43584046 56057727 65376069 112115454 130752138 200090393 239712253 275371927 400180786 479424506 550743854 600271179 719136759 826115781 1200542358 1438273518 1652231562 2200994323 2636834783 3029091197 4401988646 5273669566 6058182394 6602982969 7910504349 9087273591 13205965938 15821008698 18174547182 24210937553 27812564627 33320003167 48421875106 55625129254 66640006334 72632812659 83437693881 99960009501 145265625318 166875387762 199920019002 266320313083 305938210897 366520034837 532640626166 611876421794 733040069674 798960939249 917814632691 1099560104511 1597921878498 1835629265382 2199120209022 3365320319867 6730640639734 10095960959601 20191921919202 37018523518537 74037047037074 111055570555611 222111141111222