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230075879 = 112937101193
BaseRepresentation
bin11011011011010…
…10110111100111
3121000221001202212
431231222313213
5432344412004
634455154035
75462420105
oct1555526747
9530831685
10230075879
11108965460
126507591b
1338887997
14227b0c75
15152ea96e
hexdb6ade7

230075879 has 32 divisors (see below), whose sum is σ = 270699840. Its totient is φ = 193536000.

The previous prime is 230075861. The next prime is 230075899. The reversal of 230075879 is 978570032.

It is a cyclic number.

It is not a de Polignac number, because 230075879 - 216 = 230010343 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 (230075899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192007 + ... + 1192199.

It is an arithmetic number, because the mean of its divisors is an integer number (8459370).

Almost surely, 2230075879 is an apocalyptic number.

230075879 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

230075879 is a deficient number, since it is larger than the sum of its proper divisors (40623961).

230075879 is a wasteful number, since it uses less digits than its factorization.

230075879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 230075879 is about 15168.2523383546. The cubic root of 230075879 is about 612.7599376500.

The spelling of 230075879 in words is "two hundred thirty million, seventy-five thousand, eight hundred seventy-nine".

Divisors: 1 11 29 37 101 193 319 407 1073 1111 2123 2929 3737 5597 7141 11803 19493 32219 41107 61567 78551 108373 207089 214423 565297 721241 1192103 2277979 6218267 7933651 20915989 230075879