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221201220222220 = 225721719698809693
BaseRepresentation
bin110010010010111001101100…
…001001111011110100001100
31002000012122000100212101102011
4302102321230021323310030
5212443130044334102340
62102242234313511004
764410155305633600
oct6222715411736414
91060178010771364
10221201220222220
1164532a02125497
1220986341112464
1396572548b23a4
143c8a2a6481500
151a88e40ce30ea
hexc92e6c27bd0c

221201220222220 has 144 divisors (see below), whose sum is σ = 602262146676960. Its totient is φ = 67622416275456.

The previous prime is 221201220222211. The next prime is 221201220222251. The reversal of 221201220222220 is 22222022102122.

221201220222220 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 = 221201220222191 and 221201220222200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349088307 + ... + 349721386.

It is an arithmetic number, because the mean of its divisors is an integer number (4182376018590).

Almost surely, 2221201220222220 is an apocalyptic number.

221201220222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201220222220 is an abundant number, since it is smaller than the sum of its proper divisors (381060926454740).

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

221201220222220 is a wasteful number, since it uses less digits than its factorization.

221201220222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698809752 (or 698809743 counting only the distinct ones).

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

Adding to 221201220222220 its reverse (22222022102122), we get a palindrome (243423242324342).

The spelling of 221201220222220 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 49 68 70 76 85 95 98 119 133 140 170 190 196 238 245 266 323 340 380 476 490 532 595 646 665 833 931 980 1190 1292 1330 1615 1666 1862 2261 2380 2660 3230 3332 3724 4165 4522 4655 6460 8330 9044 9310 11305 15827 16660 18620 22610 31654 45220 63308 79135 158270 316540 698809693 1397619386 2795238772 3494048465 4891667851 6988096930 9783335702 11879764781 13277384167 13976193860 19566671404 23759529562 24458339255 26554768334 34241674957 47519059124 48916678510 53109536668 59398823905 66386920835 68483349914 83158353467 92941689169 97833357020 118797647810 132773841670 136966699828 166316706934 171208374785 185883378338 225715530839 237595295620 265547683340 332633413868 342416749570 371766756676 415791767335 451431061678 464708445845 582108474269 650591824183 684833499140 831583534670 902862123356 929416891690 1128577654195 1164216948538 1301183648366 1580008715873 1663167069340 1858833783380 2257155308390 2328433897076 2602367296732 2910542371345 3160017431746 3252959120915 4514310616780 5821084742690 6320034863492 6505918241830 7900043579365 11060061011111 11642169485380 13011836483660 15800087158730 22120122022222 31600174317460 44240244044444 55300305055555 110600610111110 221201220222220