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225415105 = 531591572
BaseRepresentation
bin11010110111110…
…00111111000001
3120201011021101121
431123320333001
5430201240410
634211232241
75404665616
oct1533707701
9521137347
10225415105
11106271783
12635a8681
1337915426
1421d1a50d
1514bc99da
hexd6f8fc1

225415105 has 24 divisors (see below), whose sum is σ = 285776640. Its totient is φ = 170464320.

The previous prime is 225415093. The next prime is 225415129. The reversal of 225415105 is 501514522.

It is not a de Polignac number, because 225415105 - 213 = 225406913 is a prime.

It is a super-3 number, since 3×2254151053 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 225415105.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 1435687 + ... + 1435843.

It is an arithmetic number, because the mean of its divisors is an integer number (11907360).

Almost surely, 2225415105 is an apocalyptic number.

It is an amenable number.

225415105 is a deficient number, since it is larger than the sum of its proper divisors (60361535).

225415105 is an equidigital number, since it uses as much as digits as its factorization.

225415105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 225415105 is about 15013.8304572817. The cubic root of 225415105 is about 608.5940071723.

Adding to 225415105 its reverse (501514522), we get a palindrome (726929627).

The spelling of 225415105 in words is "two hundred twenty-five million, four hundred fifteen thousand, one hundred five".

Divisors: 1 5 31 59 155 157 295 785 1829 4867 9145 9263 24335 24649 46315 123245 287153 764119 1435765 1454291 3820595 7271455 45083021 225415105