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214313223366 = 2321117312053871
BaseRepresentation
bin1100011110011000010…
…0000100010011000110
3202111011212010202202100
43013212010010103012
512002403141121431
6242242032052530
721324611225124
oct3074604042306
9674155122670
10214313223366
1182987255820
1235651094146
13172957a8908
14a531010914
155894d294e6
hex31e61044c6

214313223366 has 96 divisors (see below), whose sum is σ = 553658167296. Its totient is φ = 59151456000.

The previous prime is 214313223361. The next prime is 214313223433. The reversal of 214313223366 is 663322313412.

214313223366 is a `hidden beast` number, since 2 + 1 + 4 + 313 + 2 + 2 + 336 + 6 = 666.

214313223366 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214313223366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214313223361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922590 + ... + 1131281.

It is an arithmetic number, because the mean of its divisors is an integer number (5767272576).

Almost surely, 2214313223366 is an apocalyptic number.

214313223366 is an abundant number, since it is smaller than the sum of its proper divisors (339344943930).

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

214313223366 is a wasteful number, since it uses less digits than its factorization.

214313223366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053938 (or 2053935 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 214313223366 its reverse (663322313412), we get a palindrome (877635536778).

The spelling of 214313223366 in words is "two hundred fourteen billion, three hundred thirteen million, two hundred twenty-three thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 31 33 34 51 62 66 93 99 102 153 186 187 198 279 306 341 374 527 558 561 682 1023 1054 1122 1581 1683 2046 3069 3162 3366 4743 5797 6138 9486 11594 17391 34782 52173 104346 2053871 4107742 6161613 12323226 18484839 22592581 34915807 36969678 45185162 63670001 67777743 69831614 104747421 127340002 135555486 191010003 203333229 209494842 314242263 382020006 384073877 406666458 573030009 628484526 700370011 768147754 1082390017 1146060018 1152221631 1400740022 2101110033 2164780034 2304443262 3247170051 3456664893 4202220066 6303330099 6494340102 6913329786 9741510153 11906290187 12606660198 19483020306 23812580374 35718870561 71437741122 107156611683 214313223366