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230002409 = 7132199977
BaseRepresentation
bin11011011010110…
…00111011101001
3121000210022222202
431231120323221
5432340034114
634453425545
75461662650
oct1555307351
9530708882
10230002409
1110891523a
126503b2b5
1338860400
1422792197
15152d3cde
hexdb58ee9

230002409 has 24 divisors (see below), whose sum is σ = 286358400. Its totient is φ = 180880128.

The previous prime is 230002403. The next prime is 230002411. The reversal of 230002409 is 904200032.

It is not a de Polignac number, because 230002409 - 212 = 229998313 is a prime.

It is a super-2 number, since 2×2300024092 = 105802216291606562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230002403) 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 23 ways as a sum of consecutive naturals, for example, 234929 + ... + 235905.

It is an arithmetic number, because the mean of its divisors is an integer number (11931600).

Almost surely, 2230002409 is an apocalyptic number.

It is an amenable number.

230002409 is a deficient number, since it is larger than the sum of its proper divisors (56355991).

230002409 is a wasteful number, since it uses less digits than its factorization.

230002409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 230002409 is about 15165.8303102732. The cubic root of 230002409 is about 612.6947066116.

The spelling of 230002409 in words is "two hundred thirty million, two thousand, four hundred nine".

Divisors: 1 7 13 91 169 199 977 1183 1393 2587 6839 12701 18109 33631 88907 165113 194423 235417 1155791 1360961 2527499 17692493 32857487 230002409