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227305 = 5132269
BaseRepresentation
bin110111011111101001
3102112210201
4313133221
524233210
64512201
71634461
oct673751
9375721
10227305
11145861
12ab661
137c600
145cba1
154753a
hex377e9

227305 has 12 divisors (see below), whose sum is σ = 296460. Its totient is φ = 167232.

The previous prime is 227303. The next prime is 227363. The reversal of 227305 is 503722.

227305 = T49 + T50 + ... + T113.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 99856 + 127449 = 316^2 + 357^2 .

It is not a de Polignac number, because 227305 - 21 = 227303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (227303) 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, 711 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (24705).

2227305 is an apocalyptic number.

It is an amenable number.

227305 is a deficient number, since it is larger than the sum of its proper divisors (69155).

227305 is a wasteful number, since it uses less digits than its factorization.

227305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 227305 is about 476.7651413432. The cubic root of 227305 is about 61.0290106566.

The spelling of 227305 in words is "two hundred twenty-seven thousand, three hundred five".

Divisors: 1 5 13 65 169 269 845 1345 3497 17485 45461 227305