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230002641 = 32112323259
BaseRepresentation
bin11011011010110…
…00111111010001
3121000210100022100
431231120333101
5432340041031
634453431013
75461663431
oct1555307721
9530710270
10230002641
11108915430
126503b469
133886054b
14227922c1
15152d3de6
hexdb58fd1

230002641 has 12 divisors (see below), whose sum is σ = 362428560. Its totient is φ = 139395480.

The previous prime is 230002613. The next prime is 230002667. The reversal of 230002641 is 146200032.

It is a happy number.

230002641 is a `hidden beast` number, since 23 + 0 + 0 + 0 + 2 + 641 = 666.

It is not a de Polignac number, because 230002641 - 223 = 221614033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230002601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1161531 + ... + 1161728.

It is an arithmetic number, because the mean of its divisors is an integer number (30202380).

Almost surely, 2230002641 is an apocalyptic number.

It is an amenable number.

230002641 is a deficient number, since it is larger than the sum of its proper divisors (132425919).

230002641 is a wasteful number, since it uses less digits than its factorization.

230002641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323276 (or 2323273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230002641 is about 15165.8379590447. The cubic root of 230002641 is about 612.6949126169.

Adding to 230002641 its reverse (146200032), we get a palindrome (376202673).

The spelling of 230002641 in words is "two hundred thirty million, two thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 99 2323259 6969777 20909331 25555849 76667547 230002641