Search a number
-
+
222220212210220 = 225783173511102181
BaseRepresentation
bin110010100001101110101100…
…110011111000101000101100
31002010211001012200001202122011
4302201232230303320220230
5213111323443311211340
62104342320044331004
764543611005626210
oct6241565463705054
91063731180052564
10222220212210220
1164896076584034
1220b0b923543a64
1396cc378771943
143cc3730d78940
151aa56cea600ea
hexca1baccf8a2c

222220212210220 has 96 divisors (see below), whose sum is σ = 539785751694336. Its totient is φ = 75267431328000.

The previous prime is 222220212210203. The next prime is 222220212210259. The reversal of 222220212210220 is 22012212022222.

222220212210220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222220212210191 and 222220212210200.

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, 201067530 + ... + 202169710.

It is an arithmetic number, because the mean of its divisors is an integer number (5622768246816).

Almost surely, 2222220212210220 is an apocalyptic number.

222220212210220 is a gapful number since it is divisible by the number (20) 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 222220212210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269892875847168).

222220212210220 is an abundant number, since it is smaller than the sum of its proper divisors (317565539484116).

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

222220212210220 is a wasteful number, since it uses less digits than its factorization.

222220212210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119631 (or 1119629 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 222220212210220 its reverse (22012212022222), we get a palindrome (244232424232442).

The spelling of 222220212210220 in words is "two hundred twenty-two trillion, two hundred twenty billion, two hundred twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 17351 34702 69404 86755 121457 173510 242914 347020 485828 607285 1102181 1214570 1440133 2204362 2429140 2880266 4408724 5510905 5760532 7200665 7715267 10080931 11021810 14401330 15430534 20161862 22043620 28802660 30861068 38576335 40323724 50404655 77152670 91481023 100809310 154305340 182962046 201618620 365924092 457405115 640367161 914810230 1280734322 1829620460 2561468644 3201835805 6403671610 12807343220 19123942531 38247885062 76495770124 95619712655 133867597717 191239425310 267735195434 382478850620 535470390868 669337988585 1338675977170 1587287230073 2677351954340 3174574460146 6349148920292 7936436150365 11111010610511 15872872300730 22222021221022 31745744601460 44444042442044 55555053052555 111110106105110 222220212210220