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211838525 = 5282110321
BaseRepresentation
bin11001010000001…
…10011000111101
3112202121111211022
430220012120331
5413212313100
633004233525
75151412013
oct1450063075
9482544738
10211838525
11a9639468
125ab3b8a5
1334b70952
14201c48b3
15138e6e85
hexca0663d

211838525 has 12 divisors (see below), whose sum is σ = 263025204. Its totient is φ = 169248000.

The previous prime is 211838521. The next prime is 211838527. The reversal of 211838525 is 525838112.

It can be written as a sum of positive squares in 6 ways, for example, as 10936249 + 200902276 = 3307^2 + 14174^2 .

It is not a de Polignac number, because 211838525 - 22 = 211838521 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211838521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15365 + ... + 25685.

It is an arithmetic number, because the mean of its divisors is an integer number (21918767).

Almost surely, 2211838525 is an apocalyptic number.

211838525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211838525 is a deficient number, since it is larger than the sum of its proper divisors (51186679).

211838525 is a wasteful number, since it uses less digits than its factorization.

211838525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152 (or 11147 counting only the distinct ones).

The product of its digits is 19200, while the sum is 35.

The square root of 211838525 is about 14554.6736480074. The cubic root of 211838525 is about 596.1217686201.

The spelling of 211838525 in words is "two hundred eleven million, eight hundred thirty-eight thousand, five hundred twenty-five".

Divisors: 1 5 25 821 4105 10321 20525 51605 258025 8473541 42367705 211838525