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212272209 = 3243896163
BaseRepresentation
bin11001010011100…
…00010001010001
3112210102112201200
430221300101101
5413320202314
633021421413
75155166262
oct1451602121
9483375650
10212272209
11a9905286
125b10a869
1334c93176
1420298969
1513980709
hexca70451

212272209 has 24 divisors (see below), whose sum is σ = 317322720. Its totient is φ = 136648512.

The previous prime is 212272201. The next prime is 212272213. The reversal of 212272209 is 902272212.

It is not a de Polignac number, because 212272209 - 23 = 212272201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212272201) 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 23 ways as a sum of consecutive naturals, for example, 31362 + ... + 37524.

It is an arithmetic number, because the mean of its divisors is an integer number (13221780).

Almost surely, 2212272209 is an apocalyptic number.

It is an amenable number.

212272209 is a deficient number, since it is larger than the sum of its proper divisors (105050511).

212272209 is a wasteful number, since it uses less digits than its factorization.

212272209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 212272209 is about 14569.5644753026. The cubic root of 212272209 is about 596.5282924890.

It can be divided in two parts, 21227 and 2209, that added together give a triangular number (23436 = T216).

The spelling of 212272209 in words is "two hundred twelve million, two hundred seventy-two thousand, two hundred nine".

Divisors: 1 3 9 43 89 129 267 387 801 3827 6163 11481 18489 34443 55467 265009 548507 795027 1645521 2385081 4936563 23585801 70757403 212272209