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230782565 = 51317732861
BaseRepresentation
bin11011100000101…
…11011001100101
3121002020222011102
431300113121211
5433040020230
634522245445
75501422316
oct1560273145
9532228142
10230782565
111092a83a2
1265356885
1338a74540
142291660d
15153da045
hexdc17665

230782565 has 32 divisors (see below), whose sum is σ = 320223456. Its totient is φ = 158146560.

The previous prime is 230782561. The next prime is 230782567. The reversal of 230782565 is 565287032.

It can be written as a sum of positive squares in 16 ways, for example, as 43256929 + 187525636 = 6577^2 + 13694^2 .

It is not a de Polignac number, because 230782565 - 22 = 230782561 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230782561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79235 + ... + 82095.

It is an arithmetic number, because the mean of its divisors is an integer number (10006983).

Almost surely, 2230782565 is an apocalyptic number.

It is an amenable number.

230782565 is a deficient number, since it is larger than the sum of its proper divisors (89440891).

230782565 is a wasteful number, since it uses less digits than its factorization.

230782565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969.

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 230782565 is about 15191.5293831793. The cubic root of 230782565 is about 613.3866675094.

The spelling of 230782565 in words is "two hundred thirty million, seven hundred eighty-two thousand, five hundred sixty-five".

Divisors: 1 5 13 17 65 73 85 221 365 949 1105 1241 2861 4745 6205 14305 16133 37193 48637 80665 185965 208853 243185 632281 1044265 2715089 3161405 3550501 13575445 17752505 46156513 230782565