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230461461 = 3270136529
BaseRepresentation
bin11011011110010…
…01000000010101
3121001122122200200
431233021000111
5432444231321
634511331113
75465614206
oct1557110025
9531578620
10230461461
111090a911a
1265220a99
1338991339
14228715ad
1515374d26
hexdbc9015

230461461 has 12 divisors (see below), whose sum is σ = 333372780. Its totient is φ = 153417600.

The previous prime is 230461453. The next prime is 230461481. The reversal of 230461461 is 164164032.

It can be written as a sum of positive squares in 2 ways, for example, as 187964100 + 42497361 = 13710^2 + 6519^2 .

It is not a de Polignac number, because 230461461 - 23 = 230461453 is a prime.

It is a super-2 number, since 2×2304614612 = 106224970012509042, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230461411) 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, 11956 + ... + 24573.

It is an arithmetic number, because the mean of its divisors is an integer number (27781065).

Almost surely, 2230461461 is an apocalyptic number.

It is an amenable number.

230461461 is a deficient number, since it is larger than the sum of its proper divisors (102911319).

230461461 is a wasteful number, since it uses less digits than its factorization.

230461461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37236 (or 37233 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230461461 is about 15180.9571832609. The cubic root of 230461461 is about 613.1020528092.

The spelling of 230461461 in words is "two hundred thirty million, four hundred sixty-one thousand, four hundred sixty-one".

Divisors: 1 3 9 701 2103 6309 36529 109587 328761 25606829 76820487 230461461