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225541017 = 3413214189
BaseRepresentation
bin11010111000101…
…11101110011001
3120201101200010000
431130113232121
5430214303032
634214043213
75406031662
oct1534275631
9521350100
10225541017
11106348339
1263649509
133795a830
1421d50369
1514c01e7c
hexd717b99

225541017 has 20 divisors (see below), whose sum is σ = 362837860. Its totient is φ = 138793824.

The previous prime is 225541009. The next prime is 225541021. The reversal of 225541017 is 710145522.

225541017 is a `hidden beast` number, since 2 + 2 + 554 + 101 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79227801 + 146313216 = 8901^2 + 12096^2 .

It is not a de Polignac number, because 225541017 - 23 = 225541009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225541087) 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 in 19 ways as a sum of consecutive naturals, for example, 106042 + ... + 108147.

It is an arithmetic number, because the mean of its divisors is an integer number (18141893).

Almost surely, 2225541017 is an apocalyptic number.

225541017 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

225541017 is a deficient number, since it is larger than the sum of its proper divisors (137296843).

225541017 is a wasteful number, since it uses less digits than its factorization.

225541017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214214 (or 214205 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 225541017 is about 15018.0230722955. The cubic root of 225541017 is about 608.7073018947.

Adding to 225541017 its reverse (710145522), we get a palindrome (935686539).

The spelling of 225541017 in words is "two hundred twenty-five million, five hundred forty-one thousand, seventeen".

Divisors: 1 3 9 13 27 39 81 117 351 1053 214189 642567 1927701 2784457 5783103 8353371 17349309 25060113 75180339 225541017