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229585 = 5173773
BaseRepresentation
bin111000000011010001
3102122221011
4320003101
524321320
64530521
71644226
oct700321
9378834
10229585
11147544
12b0a41
1380665
145d94d
154805a
hex380d1

229585 has 16 divisors (see below), whose sum is σ = 303696. Its totient is φ = 165888.

The previous prime is 229583. The next prime is 229589. The reversal of 229585 is 585922.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25281 + 204304 = 159^2 + 452^2 .

It is a 4-Lehmer number, since φ(229585) divides (229585-1)4.

It is a cyclic number.

It is not a de Polignac number, because 229585 - 21 = 229583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (229583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109 + ... + 3181.

It is an arithmetic number, because the mean of its divisors is an integer number (18981).

2229585 is an apocalyptic number.

It is an amenable number.

229585 is a deficient number, since it is larger than the sum of its proper divisors (74111).

229585 is a wasteful number, since it uses less digits than its factorization.

229585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 7200, while the sum is 31.

The square root of 229585 is about 479.1502895752. The cubic root of 229585 is about 61.2323842163.

The spelling of 229585 in words is "two hundred twenty-nine thousand, five hundred eighty-five".

Divisors: 1 5 17 37 73 85 185 365 629 1241 2701 3145 6205 13505 45917 229585