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223065 = 3254957
BaseRepresentation
bin110110011101011001
3102022222200
4312131121
524114230
64440413
71616223
oct663531
9368880
10223065
11142657
12a9109
137a6bb
145b413
1546160
hex36759

223065 has 12 divisors (see below), whose sum is σ = 386724. Its totient is φ = 118944.

The previous prime is 223063. The next prime is 223087. The reversal of 223065 is 560322.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 84681 = 372^2 + 291^2 .

It is not a de Polignac number, because 223065 - 21 = 223063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2434 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (32227).

2223065 is an apocalyptic number.

It is an amenable number.

223065 is a deficient number, since it is larger than the sum of its proper divisors (163659).

223065 is a wasteful number, since it uses less digits than its factorization.

223065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 223065 is about 472.2975756872. The cubic root of 223065 is about 60.6471612749.

Adding to 223065 its reverse (560322), we get a palindrome (783387).

The spelling of 223065 in words is "two hundred twenty-three thousand, sixty-five".

Divisors: 1 3 5 9 15 45 4957 14871 24785 44613 74355 223065