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221002220211040 = 25559233100477477
BaseRepresentation
bin110010010000000000010110…
…110101001000101101100000
31001222111121100201020101200201
4302100000112311020231200
5212431400021333223130
62102011003544554544
764356612016513102
oct6220002665105540
91058447321211621
10221002220211040
116446657387a734
1220953864482a54
13964155c7c8298
143c807c9107572
151a83b9554bbca
hexc90016d48b60

221002220211040 has 96 divisors (see below), whose sum is σ = 533246033043360. Its totient is φ = 86529594691584.

The previous prime is 221002220211011. The next prime is 221002220211041. The reversal of 221002220211040 is 40112022200122.

It is a junction number, because it is equal to n+sod(n) for n = 221002220210999 and 221002220211017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002220211041) 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 15 ways as a sum of consecutive naturals, for example, 48039219 + ... + 52438258.

It is an arithmetic number, because the mean of its divisors is an integer number (5554646177535).

Almost surely, 2221002220211040 is an apocalyptic number.

221002220211040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002220211040 is an abundant number, since it is smaller than the sum of its proper divisors (312243812832320).

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

221002220211040 is a wasteful number, since it uses less digits than its factorization.

221002220211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100477784 (or 100477776 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221002220211040 its reverse (40112022200122), we get a palindrome (261114242411162).

The spelling of 221002220211040 in words is "two hundred twenty-one trillion, two billion, two hundred twenty million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 233 236 295 466 472 590 932 944 1165 1180 1864 1888 2330 2360 3728 4660 4720 7456 9320 9440 13747 18640 27494 37280 54988 68735 109976 137470 219952 274940 439904 549880 1099760 2199520 100477477 200954954 401909908 502387385 803819816 1004774770 1607639632 2009549540 3215279264 4019099080 5928171143 8038198160 11856342286 16076396320 23411252141 23712684572 29640855715 46822504282 47425369144 59281711430 93645008564 94850738288 117056260705 118563422860 187290017128 189701476576 234112521410 237126845720 374580034256 468225042820 474253691440 749160068512 936450085640 948507382880 1381263876319 1872900171280 2762527752638 3745800342560 5525055505276 6906319381595 11050111010552 13812638763190 22100222021104 27625277526380 44200444042208 55250555052760 110501110105520 221002220211040