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225267161 = 7241112129
BaseRepresentation
bin11010110110101…
…00110111011001
3120200212202110012
431123110313121
5430132022121
634204131305
75403511400
oct1533246731
9520782405
10225267161
11106180609
1263536b35
1337892ca2
1421cbc637
1514b9ac5b
hexd6d4dd9

225267161 has 12 divisors (see below), whose sum is σ = 268439220. Its totient is φ = 188375040.

The previous prime is 225267149. The next prime is 225267179. The reversal of 225267161 is 161762522.

It can be written as a sum of positive squares in 2 ways, for example, as 5664400 + 219602761 = 2380^2 + 14819^2 .

It is not a de Polignac number, because 225267161 - 218 = 225005017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225267101) 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 11 ways as a sum of consecutive naturals, for example, 54056 + ... + 58073.

It is an arithmetic number, because the mean of its divisors is an integer number (22369935).

Almost surely, 2225267161 is an apocalyptic number.

It is an amenable number.

225267161 is a deficient number, since it is larger than the sum of its proper divisors (43172059).

225267161 is a wasteful number, since it uses less digits than its factorization.

225267161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112184 (or 112177 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 225267161 is about 15008.9027247164. The cubic root of 225267161 is about 608.4608342914.

The spelling of 225267161 in words is "two hundred twenty-five million, two hundred sixty-seven thousand, one hundred sixty-one".

Divisors: 1 7 41 49 287 2009 112129 784903 4597289 5494321 32181023 225267161