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230913431 = 73171992
BaseRepresentation
bin11011100001101…
…11010110010111
3121002111121200022
431300313112113
5433103212211
634525135355
75502506000
oct1560672627
9532447608
10230913431
11109387751
12653ba55b
1338abbc88
142294c1a7
1515413bdb
hexdc37597

230913431 has 24 divisors (see below), whose sum is σ = 286567200. Its totient is φ = 185347008.

The previous prime is 230913413. The next prime is 230913439. The reversal of 230913431 is 134319032.

It is a happy number.

It is not a de Polignac number, because 230913431 - 26 = 230913367 is a prime.

It is a super-2 number, since 2×2309134312 = 106642025232383522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230913431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230913439) 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, 1160270 + ... + 1160468.

It is an arithmetic number, because the mean of its divisors is an integer number (11940300).

Almost surely, 2230913431 is an apocalyptic number.

230913431 is a deficient number, since it is larger than the sum of its proper divisors (55653769).

230913431 is an frugal number, since it uses more digits than its factorization.

230913431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 230913431 is about 15195.8359756876. The cubic root of 230913431 is about 613.5025865661.

The spelling of 230913431 in words is "two hundred thirty million, nine hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 7 17 49 119 199 343 833 1393 3383 5831 9751 23681 39601 68257 165767 277207 673217 1160369 1940449 4712519 13583143 32987633 230913431