Search a number
-
+
225636041 is a prime number
BaseRepresentation
bin11010111001011…
…10111011001001
3120201120111110102
431130232323021
5430230323131
634220055145
75406606011
oct1534567311
9521514412
10225636041
11106402774
12636944b5
1337991b67
1421d76c41
1514c201cb
hexd72eec9

225636041 has 2 divisors, whose sum is σ = 225636042. Its totient is φ = 225636040.

The previous prime is 225636029. The next prime is 225636043. The reversal of 225636041 is 140636522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182142016 + 43494025 = 13496^2 + 6595^2 .

It is a cyclic number.

It is not a de Polignac number, because 225636041 - 210 = 225635017 is a prime.

Together with 225636043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 225635995 and 225636013.

It is not a weakly prime, because it can be changed into another prime (225636043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112818020 + 112818021.

It is an arithmetic number, because the mean of its divisors is an integer number (112818021).

Almost surely, 2225636041 is an apocalyptic number.

It is an amenable number.

225636041 is a deficient number, since it is larger than the sum of its proper divisors (1).

225636041 is an equidigital number, since it uses as much as digits as its factorization.

225636041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 225636041 is about 15021.1864045421. The cubic root of 225636041 is about 608.7927758986.

The spelling of 225636041 in words is "two hundred twenty-five million, six hundred thirty-six thousand, forty-one".