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225415441 is a prime number
BaseRepresentation
bin11010110111110…
…01000100010001
3120201011021212001
431123321010101
5430201243231
634211234001
75404666606
oct1533710421
9521137761
10225415441
11106271a59
12635a8901
1337915624
1421d1a6ad
1514bc9b61
hexd6f9111

225415441 has 2 divisors, whose sum is σ = 225415442. Its totient is φ = 225415440.

The previous prime is 225415439. The next prime is 225415453. The reversal of 225415441 is 144514522.

225415441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155525841 + 69889600 = 12471^2 + 8360^2 .

It is a cyclic number.

It is not a de Polignac number, because 225415441 - 21 = 225415439 is a prime.

It is a super-3 number, since 3×2254154413 (a number of 26 digits) contains 333 as substring.

Together with 225415439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (225410441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112707720 + 112707721.

It is an arithmetic number, because the mean of its divisors is an integer number (112707721).

Almost surely, 2225415441 is an apocalyptic number.

It is an amenable number.

225415441 is a deficient number, since it is larger than the sum of its proper divisors (1).

225415441 is an equidigital number, since it uses as much as digits as its factorization.

225415441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6400, while the sum is 28.

The square root of 225415441 is about 15013.8416469603. The cubic root of 225415441 is about 608.5943095588.

Adding to 225415441 its reverse (144514522), we get a palindrome (369929963).

The spelling of 225415441 in words is "two hundred twenty-five million, four hundred fifteen thousand, four hundred forty-one".