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230256513 = 343776829
BaseRepresentation
bin11011011100101…
…10111110000001
3121001021020120000
431232112332001
5432421202023
634503110213
75464101534
oct1556267601
9531236500
10230256513
11108a79143
1265142369
133891bc76
142281aa1b
1515334243
hexdb96f81

230256513 has 20 divisors (see below), whose sum is σ = 353264340. Its totient is φ = 149353632.

The previous prime is 230256487. The next prime is 230256553. The reversal of 230256513 is 315652032.

230256513 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 5 + 651 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221057424 + 9199089 = 14868^2 + 3033^2 .

It is not a de Polignac number, because 230256513 - 29 = 230256001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230256553) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35418 + ... + 41411.

It is an arithmetic number, because the mean of its divisors is an integer number (17663217).

Almost surely, 2230256513 is an apocalyptic number.

It is an amenable number.

230256513 is a deficient number, since it is larger than the sum of its proper divisors (123007827).

230256513 is an equidigital number, since it uses as much as digits as its factorization.

230256513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76878 (or 76869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 230256513 is about 15174.2055146225. The cubic root of 230256513 is about 612.9202562445.

The spelling of 230256513 in words is "two hundred thirty million, two hundred fifty-six thousand, five hundred thirteen".

Divisors: 1 3 9 27 37 81 111 333 999 2997 76829 230487 691461 2074383 2842673 6223149 8528019 25584057 76752171 230256513