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221222120110222 = 271122920231222587
BaseRepresentation
bin110010010011001101001001…
…111000101011100010001110
31002000021121221220200200221011
4302103031021320223202032
5212444000400222011342
62102300012230555434
764411525236021640
oct6223151170534216
91060247856620834
10221222120110222
116454085760a700
122098a3b4508b7a
13965920584471a
143c8b2ca094890
151a89765a67717
hexc93349e2b88e

221222120110222 has 96 divisors (see below), whose sum is σ = 431245623836160. Its totient is φ = 83213865134400.

The previous prime is 221222120110219. The next prime is 221222120110267. The reversal of 221222120110222 is 222011021222122.

It is a super-2 number, since 2×2212221201102222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221222120110193 and 221222120110202.

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, 993756813 + ... + 993979399.

It is an arithmetic number, because the mean of its divisors is an integer number (4492141914960).

Almost surely, 2221222120110222 is an apocalyptic number.

221222120110222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221222120110222 is a deficient number, since it is larger than the sum of its proper divisors (210023503725938).

221222120110222 is a wasteful number, since it uses less digits than its factorization.

221222120110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242878 (or 242867 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221222120110222 its reverse (222011021222122), we get a palindrome (443233141332344).

The spelling of 221222120110222 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 7 11 14 22 29 58 77 121 154 203 242 319 406 638 847 1694 2233 3509 4466 7018 20231 24563 40462 49126 141617 222541 222587 283234 445082 445174 586699 1173398 1557787 1558109 2447951 2448457 3115574 3116218 4106893 4895902 4896914 6453689 6455023 8213786 12907378 12910046 17135657 17139199 26933027 34271314 34278398 45175823 45185161 53866054 70990579 71005253 90351646 90370322 141981158 142010506 188531189 377062378 496934053 497036771 781057783 993868106 994073542 1562115566 4503157597 5467404481 9006315194 10934808962 31522103179 49534733567 63044206358 99069467134 130591570313 261183140626 346743134969 544882069237 693486269938 914140992191 1089764138474 1436507273443 1828281984382 2873014546886 3814174484659 7628348969318 10055550914101 15801580007873 20111101828202 31603160015746 110611060055111 221222120110222