Search a number
-
+
2212222200012 = 2233113160069029
BaseRepresentation
bin100000001100010010101…
…101111110100011001100
321211111010120100121221000
4200030102231332203030
5242221112340400022
64412140355140300
7315553633304166
oct40142255764314
97744116317830
102212222200012
1178321a839830
122b88b08a4690
131307c4a75c56
1479101cad936
153c8294646ac
hex20312b7e8cc

2212222200012 has 96 divisors (see below), whose sum is σ = 6458622105600. Its totient is φ = 648745502400.

The previous prime is 2212222199987. The next prime is 2212222200047. The reversal of 2212222200012 is 2100022222122.

2212222200012 is a `hidden beast` number, since 221 + 222 + 220 + 0 + 0 + 1 + 2 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 29997687 + ... + 30071342.

It is an arithmetic number, because the mean of its divisors is an integer number (67277313600).

Almost surely, 22212222200012 is an apocalyptic number.

2212222200012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2212222200012 is an abundant number, since it is smaller than the sum of its proper divisors (4246399905588).

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

2212222200012 is a wasteful number, since it uses less digits than its factorization.

2212222200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60069084 (or 60069076 counting only the distinct ones).

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

Adding to 2212222200012 its reverse (2100022222122), we get a palindrome (4312244422134).

The spelling of 2212222200012 in words is "two trillion, two hundred twelve billion, two hundred twenty-two million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828 60069029 120138058 180207087 240276116 360414174 540621261 660759319 720828348 1081242522 1321518638 1621863783 1862139899 1982277957 2162485044 2643037276 3243727566 3724279798 3964555914 5586419697 5946833871 6487455132 7448559596 7929111828 11172839394 11893667742 16759259091 17840501613 20483538889 22345678788 23787335484 33518518182 35681003226 40967077778 50277777273 61450616667 67037036364 71362006452 81934155556 100555554546 122901233334 184351850001 201111109092 245802466668 368703700002 553055550003 737407400004 1106111100006 2212222200012