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114320220242220 = 2232511172549223063
BaseRepresentation
bin11001111111100101000000…
…000111100100000100101100
3112222202220110201010020120100
4121333211000013210010230
5104441010302340222340
61043045552324551100
733036235425624666
oct3177450007440454
9488686421106510
10114320220242220
1133475a2a006343
12109a4036552490
134ba34730c7155
1420331b1a39536
15d33ae80ee830
hex67f9401e412c

114320220242220 has 144 divisors (see below), whose sum is σ = 347219504049600. Its totient is φ = 30446014330368.

The previous prime is 114320220242147. The next prime is 114320220242227. The reversal of 114320220242220 is 22242022023411.

114320220242220 is a `hidden beast` number, since 1 + 1 + 4 + 32 + 0 + 2 + 202 + 422 + 2 + 0 = 666.

It is a super-2 number, since 2×1143202202422202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114320220242227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512390409 + ... + 512613471.

It is an arithmetic number, because the mean of its divisors is an integer number (2411246555900).

Almost surely, 2114320220242220 is an apocalyptic number.

114320220242220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114320220242220 is an abundant number, since it is smaller than the sum of its proper divisors (232899283807380).

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

114320220242220 is a wasteful number, since it uses less digits than its factorization.

114320220242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226744 (or 226739 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 114320220242220 its reverse (22242022023411), we get a palindrome (136562242265631).

The spelling of 114320220242220 in words is "one hundred fourteen trillion, three hundred twenty billion, two hundred twenty million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1117 2234 2549 3351 4468 5098 5585 6702 7647 10053 10196 11170 12745 13404 15294 16755 20106 22340 22941 25490 30588 33510 38235 40212 45882 50265 50980 67020 76470 91764 100530 114705 152940 201060 223063 229410 446126 458820 669189 892252 1115315 1338378 2007567 2230630 2676756 2847233 3345945 4015134 4461260 5694466 6691890 8030268 8541699 10037835 11388932 13383780 14236165 17083398 20075670 25625097 28472330 34166796 40151340 42708495 51250194 56944660 85416990 102500388 128125485 170833980 249161371 256250970 498322742 512501940 568587587 747484113 996645484 1137175174 1245806855 1494968226 1705762761 2242452339 2274350348 2491613710 2842937935 2989936452 3411525522 3737420565 4484904678 4983227420 5117288283 5685875870 6823051044 7474841130 8528813805 8969809356 10234576566 11212261695 11371751740 14949682260 17057627610 20469153132 22424523390 25586441415 34115255220 44849046780 51172882830 102345765660 635112334679 1270224669358 1905337004037 2540449338716 3175561673395 3810674008074 5716011012111 6351123346790 7621348016148 9526685020185 11432022024222 12702246693580 19053370040370 22864044048444 28580055060555 38106740080740 57160110121110 114320220242220