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206432501225 = 5216001516049
BaseRepresentation
bin1100000001000001010…
…1011111110111101001
3201201211122011121022112
43000100111133313221
511340233210014400
6234500032532105
720625406210616
oct3002025376751
9651748147275
10206432501225
117a602846615
12340119b1035
131660ab98b12
149dc451550d
155583040835
hex301055fde9

206432501225 has 12 divisors (see below), whose sum is σ = 255992795100. Its totient is φ = 165135360000.

The previous prime is 206432501221. The next prime is 206432501239. The reversal of 206432501225 is 522105234602.

206432501225 is digitally balanced in base 2, 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 6 ways, for example, as 14158144144 + 192274357081 = 118988^2 + 438491^2 .

It is not a de Polignac number, because 206432501225 - 22 = 206432501221 is a prime.

It is a super-2 number, since 2×2064325012252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206432501191 and 206432501200.

It is not an unprimeable number, because it can be changed into a prime (206432501221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142001 + ... + 658049.

It is an arithmetic number, because the mean of its divisors is an integer number (21332732925).

Almost surely, 2206432501225 is an apocalyptic number.

206432501225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

206432501225 is a deficient number, since it is larger than the sum of its proper divisors (49560293875).

206432501225 is a wasteful number, since it uses less digits than its factorization.

206432501225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532060 (or 532055 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 206432501225 its reverse (522105234602), we get a palindrome (728537735827).

The spelling of 206432501225 in words is "two hundred six billion, four hundred thirty-two million, five hundred one thousand, two hundred twenty-five".

Divisors: 1 5 25 16001 80005 400025 516049 2580245 12901225 8257300049 41286500245 206432501225