Search a number
-
+
212221221200212 = 22767149759223613
BaseRepresentation
bin110000010000001110011010…
…100000001110000101010100
31000211102011001210102111212111
4300100032122200032011110
5210304013030111401322
62031205025541400404
762462322461444440
oct6020163240160524
91024364053374774
10212221221200212
1161690572854144
121b975a89709104
1391554b5680523
143a597c1c57820
1519805634c7177
hexc1039a80e154

212221221200212 has 48 divisors (see below), whose sum is σ = 433668528316800. Its totient is φ = 88993154904192.

The previous prime is 212221221200171. The next prime is 212221221200243. The reversal of 212221221200212 is 212002122122212.

It is a super-2 number, since 2×2122212212002122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 379332283 + ... + 379891330.

It is an arithmetic number, because the mean of its divisors is an integer number (9034761006600).

Almost surely, 2212221221200212 is an apocalyptic number.

It is an amenable number.

212221221200212 is an abundant number, since it is smaller than the sum of its proper divisors (221447307116588).

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

212221221200212 is a wasteful number, since it uses less digits than its factorization.

212221221200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759223840 (or 759223838 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 212221221200212 its reverse (212002122122212), we get a palindrome (424223343322424).

The spelling of 212221221200212 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 67 134 149 268 298 469 596 938 1043 1876 2086 4172 9983 19966 39932 69881 139762 279524 759223613 1518447226 3036894452 5314565291 10629130582 21258261164 50867982071 101735964142 113124318337 203471928284 226248636674 356075874497 452497273348 712151748994 791870228359 1424303497988 1583740456718 3167480913436 7579329328579 15158658657158 30317317314316 53055305300053 106110610600106 212221221200212