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222014322312420 = 2235112263116275609
BaseRepresentation
bin110010011110101110111100…
…110100010000010011100100
31002010002100202211220021021210
4302132232330310100103210
5213044440313002444140
62104103545513311420
764523001605442411
oct6236567464202344
91063070684807253
10222014322312420
1164816822053500
1220a97a43405570
1396b5b26126751
143cb779c949108
151aa017e4a0d80
hexc9ebbcd104e4

222014322312420 has 144 divisors (see below), whose sum is σ = 685888428677760. Its totient is φ = 53617008360960.

The previous prime is 222014322312413. The next prime is 222014322312451. The reversal of 222014322312420 is 24213223410222.

222014322312420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2220143223124202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 56228425 + ... + 60047184.

It is an arithmetic number, because the mean of its divisors is an integer number (4763114088040).

Almost surely, 2222014322312420 is an apocalyptic number.

222014322312420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222014322312420 is an abundant number, since it is smaller than the sum of its proper divisors (463874106365340).

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

222014322312420 is a wasteful number, since it uses less digits than its factorization.

222014322312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116275906 (or 116275893 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 222014322312420 its reverse (24213223410222), we get a palindrome (246227545722642).

The spelling of 222014322312420 in words is "two hundred twenty-two trillion, fourteen billion, three hundred twenty-two million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 263 330 363 484 526 605 660 726 789 1052 1210 1315 1452 1578 1815 2420 2630 2893 3156 3630 3945 5260 5786 7260 7890 8679 11572 14465 15780 17358 28930 31823 34716 43395 57860 63646 86790 95469 127292 159115 173580 190938 318230 381876 477345 636460 954690 1909380 116275609 232551218 348826827 465102436 581378045 697653654 1162756090 1279031699 1395307308 1744134135 2325512180 2558063398 3488268270 3837095097 5116126796 6395158495 6976536540 7674190194 12790316990 14069348689 15348380388 19185475485 25580633980 28138697378 30580485167 38370950970 42208046067 56277394756 61160970334 70346743445 76741901940 84416092134 91741455501 122321940668 140693486890 152902425835 168832184268 183482911002 211040230335 281386973780 305804851670 336385336837 366965822004 422080460670 458707277505 611609703340 672770673674 844160921340 917414555010 1009156010511 1345541347348 1681926684185 1834829110020 2018312021022 3363853368370 3700238705207 4036624042044 5045780052555 6727706736740 7400477410414 10091560105110 11100716115621 14800954820828 18501193526035 20183120210220 22201432231242 37002387052070 44402864462484 55503580578105 74004774104140 111007161156210 222014322312420