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225131 = 1721941
BaseRepresentation
bin110110111101101011
3102102211012
4312331223
524201011
64454135
71625234
oct667553
9372735
10225131
11144165
12aa34b
137b61a
145c08b
1546a8b
hex36f6b

225131 has 12 divisors (see below), whose sum is σ = 257880. Its totient is φ = 195840.

The previous prime is 225119. The next prime is 225133. The reversal of 225131 is 131522.

It is a happy number.

It is not a de Polignac number, because 225131 - 26 = 225067 is a prime.

It is a super-2 number, since 2×2251312 = 101367934322, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225131.

It is not an unprimeable number, because it can be changed into a prime (225133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5471 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (21490).

2225131 is an apocalyptic number.

225131 is a deficient number, since it is larger than the sum of its proper divisors (32749).

225131 is a wasteful number, since it uses less digits than its factorization.

225131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 225131 is about 474.4797150564. The cubic root of 225131 is about 60.8338216428.

Adding to 225131 its reverse (131522), we get a palindrome (356653).

The spelling of 225131 in words is "two hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 17 19 41 289 323 697 779 5491 11849 13243 225131