Search a number
-
+
221003220333220 = 2251361132710500851
BaseRepresentation
bin110010010000000001010010…
…011100010011001010100100
31001222111200221102010212101221
4302100001102130103022210
5212431404043401130340
62102011251113030124
764356645552433153
oct6220012234231244
91058450842125357
10221003220333220
1164466a37377296
1220953aa33b5344
13964168ba78c60
143c80881c8759a
151a83c0325444a
hexc900527132a4

221003220333220 has 96 divisors (see below), whose sum is σ = 508383712359936. Its totient is φ = 80202972096000.

The previous prime is 221003220333193. The next prime is 221003220333221. The reversal of 221003220333220 is 22333022300122.

It is not an unprimeable number, because it can be changed into a prime (221003220333221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15795795 + ... + 26296645.

It is an arithmetic number, because the mean of its divisors is an integer number (5295663670416).

Almost surely, 2221003220333220 is an apocalyptic number.

221003220333220 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 221003220333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254191856179968).

221003220333220 is an abundant number, since it is smaller than the sum of its proper divisors (287380492026716).

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

221003220333220 is a wasteful number, since it uses less digits than its factorization.

221003220333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502261 (or 10502259 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 221003220333220 its reverse (22333022300122), we get a palindrome (243336242633342).

The spelling of 221003220333220 in words is "two hundred twenty-one trillion, three billion, two hundred twenty million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1327 1586 2654 3172 3965 5308 6635 7930 13270 15860 17251 26540 34502 69004 80947 86255 161894 172510 323788 345020 404735 809470 1052311 1618940 2104622 4209244 5261555 10500851 10523110 21001702 21046220 42003404 52504255 105008510 136511063 210017020 273022126 546044252 640551911 682555315 1281103822 1365110630 2562207644 2730221260 3202759555 6405519110 8327174843 12811038220 13934629277 16654349686 27869258554 33308699372 41635874215 55738517108 69673146385 83271748430 139346292770 166543496860 181150180601 278692585540 362300361202 724600722404 850012385897 905750903005 1700024771794 1811501806010 3400049543588 3623003612020 4250061929485 8500123858970 11050161016661 17000247717940 22100322033322 44200644066644 55250805083305 110501610166610 221003220333220