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212065083 = 32238312343
BaseRepresentation
bin11001010001111…
…01101100111011
3112210001000121100
430220331230323
5413242040313
633013142443
75153344356
oct1450755473
9483030540
10212065083
11a97836aa
125b02aa23
1334c1cac9
142024329d
151393e173
hexca3db3b

212065083 has 24 divisors (see below), whose sum is σ = 323511552. Its totient is φ = 133589808.

The previous prime is 212065069. The next prime is 212065111. The reversal of 212065083 is 380560212.

212065083 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 650 + 8 + 3 = 666.

It is not a de Polignac number, because 212065083 - 29 = 212064571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212065033) 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 23 ways as a sum of consecutive naturals, for example, 11010 + ... + 23352.

It is an arithmetic number, because the mean of its divisors is an integer number (13479648).

Almost surely, 2212065083 is an apocalyptic number.

212065083 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

212065083 is a deficient number, since it is larger than the sum of its proper divisors (111446469).

212065083 is a wasteful number, since it uses less digits than its factorization.

212065083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12452 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 212065083 is about 14562.4545664527. The cubic root of 212065083 is about 596.3342072176.

The spelling of 212065083 in words is "two hundred twelve million, sixty-five thousand, eighty-three".

Divisors: 1 3 9 23 69 83 207 249 747 1909 5727 12343 17181 37029 111087 283889 851667 1024469 2555001 3073407 9220221 23562787 70688361 212065083