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211831218 = 23211768401
BaseRepresentation
bin11001010000001…
…00100110110010
3112202121010210200
430220010212302
5413212044333
633004140030
75151351504
oct1450044662
9482533720
10211831218
11a9633a25
125ab37616
1334b6a521
14201c1d74
15138e4c13
hexca049b2

211831218 has 12 divisors (see below), whose sum is σ = 458967678. Its totient is φ = 70610400.

The previous prime is 211831211. The next prime is 211831267. The reversal of 211831218 is 812138112.

211831218 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 199741689 + 12089529 = 14133^2 + 3477^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211831191 and 211831200.

It is not an unprimeable number, because it can be changed into a prime (211831211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5884183 + ... + 5884218.

Almost surely, 2211831218 is an apocalyptic number.

211831218 is an abundant number, since it is smaller than the sum of its proper divisors (247136460).

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

211831218 is a wasteful number, since it uses less digits than its factorization.

211831218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11768409 (or 11768406 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 211831218 is about 14554.4226268169. The cubic root of 211831218 is about 596.1149144815.

The spelling of 211831218 in words is "two hundred eleven million, eight hundred thirty-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 11768401 23536802 35305203 70610406 105915609 211831218