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225315441 = 32131925773
BaseRepresentation
bin11010110111000…
…00101001110001
3120200222012200100
431123200221301
5430140043231
634205143013
75404102221
oct1533405161
9520865610
10225315441
1110620390a
126355aa69
13378abc60
1421cd2081
1514baa1e6
hexd6e0a71

225315441 has 12 divisors (see below), whose sum is σ = 350490868. Its totient is φ = 138655584.

The previous prime is 225315437. The next prime is 225315451. The reversal of 225315441 is 144513522.

225315441 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 2 ways, for example, as 54464400 + 170851041 = 7380^2 + 13071^2 .

It is not a de Polignac number, because 225315441 - 22 = 225315437 is a prime.

It is a super-3 number, since 3×2253154413 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (225315451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 962770 + ... + 963003.

Almost surely, 2225315441 is an apocalyptic number.

It is an amenable number.

225315441 is a deficient number, since it is larger than the sum of its proper divisors (125175427).

225315441 is a wasteful number, since it uses less digits than its factorization.

225315441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925792 (or 1925789 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 225315441 is about 15010.5110172839. The cubic root of 225315441 is about 608.5043002964.

Adding to 225315441 its reverse (144513522), we get a palindrome (369828963).

It can be divided in two parts, 22531 and 5441, that added together give a palindrome (27972).

The spelling of 225315441 in words is "two hundred twenty-five million, three hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 1925773 5777319 17331957 25035049 75105147 225315441