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212338181 = 1121754861
BaseRepresentation
bin11001010100000…
…00011000000101
3112210112220020002
430222000120011
5413324310211
633023051045
75155562516
oct1452003005
9483486202
10212338181
11a994a900
125b140a85
1334cb71c3
14202b4a0d
151399503b
hexca80605

212338181 has 6 divisors (see below), whose sum is σ = 233396646. Its totient is φ = 193034600.

The previous prime is 212338157. The next prime is 212338237. The reversal of 212338181 is 181833212.

It can be written as a sum of positive squares in only one way, i.e., 138532900 + 73805281 = 11770^2 + 8591^2 .

It is not a de Polignac number, because 212338181 - 214 = 212321797 is a prime.

It is a super-2 number, since 2×2123381812 = 90175006220777522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212338481) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 877310 + ... + 877551.

It is an arithmetic number, because the mean of its divisors is an integer number (38899441).

Almost surely, 2212338181 is an apocalyptic number.

It is an amenable number.

212338181 is a deficient number, since it is larger than the sum of its proper divisors (21058465).

212338181 is a wasteful number, since it uses less digits than its factorization.

212338181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754883 (or 1754872 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 212338181 is about 14571.8283341522. The cubic root of 212338181 is about 596.5900843559.

It can be divided in two parts, 2123 and 38181, that added together give a palindrome (40304).

The spelling of 212338181 in words is "two hundred twelve million, three hundred thirty-eight thousand, one hundred eighty-one".

Divisors: 1 11 121 1754861 19303471 212338181