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2012202212220 = 223552914277013
BaseRepresentation
bin11101010010000000100…
…110010001101101111100
321010100211211110110100000
4131102000212101231330
5230431442231242340
64140220512434300
7265243150411554
oct35220046215574
97110754413300
102012202212220
117064087664a2
12285b8a548990
131179995790a5
146d5692a8164
153751e392d30
hex1d480991b7c

2012202212220 has 144 divisors (see below), whose sum is σ = 6548009700960. Its totient is φ = 518084211456.

The previous prime is 2012202212183. The next prime is 2012202212231. The reversal of 2012202212220 is 222122022102.

2012202212220 is a `hidden beast` number, since 2 + 0 + 1 + 220 + 221 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012202212193 and 2012202212202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6997567 + ... + 7279446.

It is an arithmetic number, because the mean of its divisors is an integer number (45472289590).

Almost surely, 22012202212220 is an apocalyptic number.

2012202212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012202212220 is an abundant number, since it is smaller than the sum of its proper divisors (4535807488740).

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

2012202212220 is a wasteful number, since it uses less digits than its factorization.

2012202212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14277066 (or 14277052 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2012202212220 its reverse (222122022102), we get a palindrome (2234324234322).

The spelling of 2012202212220 in words is "two trillion, twelve billion, two hundred two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 870 972 1044 1215 1305 1566 1620 1740 2349 2430 2610 3132 3915 4698 4860 5220 7047 7830 9396 11745 14094 15660 23490 28188 35235 46980 70470 140940 14277013 28554026 42831039 57108052 71385065 85662078 128493117 142770130 171324156 214155195 256986234 285540260 385479351 414033377 428310390 513972468 642465585 770958702 828066754 856620780 1156438053 1242100131 1284931170 1541917404 1656133508 1927396755 2070166885 2312876106 2484200262 2569862340 3469314159 3726300393 3854793510 4140333770 4625752212 4968400524 5782190265 6210500655 6938628318 7452600786 7709587020 8280667540 11178901179 11564380530 12421001310 13877256636 14905201572 17346570795 18631501965 22357802358 23128761060 24842002620 33536703537 34693141590 37263003930 44715604716 55894505895 67073407074 69386283180 74526007860 100610110611 111789011790 134146814148 167683517685 201220221222 223578023580 335367035370 402440442444 503050553055 670734070740 1006101106110 2012202212220