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230312457 = 3337415623
BaseRepresentation
bin11011011101001…
…00101000001001
3121001101002022000
431232210220021
5432424444312
634504221213
75464423614
oct1556445011
9531332260
10230312457
11109007181
126516a809
133893b57b
142283317b
1515345adc
hexdba4a09

230312457 has 32 divisors (see below), whose sum is σ = 359036160. Its totient is φ = 145722240.

The previous prime is 230312449. The next prime is 230312477. The reversal of 230312457 is 754213032.

It is not a de Polignac number, because 230312457 - 23 = 230312449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 230312457.

It is not an unprimeable number, because it can be changed into a prime (230312477) 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 31 ways as a sum of consecutive naturals, for example, 38148 + ... + 43770.

It is an arithmetic number, because the mean of its divisors is an integer number (11219880).

Almost surely, 2230312457 is an apocalyptic number.

230312457 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

230312457 is a deficient number, since it is larger than the sum of its proper divisors (128723703).

230312457 is a wasteful number, since it uses less digits than its factorization.

230312457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230312457 is about 15176.0487940702. The cubic root of 230312457 is about 612.9698913720.

Adding to 230312457 its reverse (754213032), we get a palindrome (984525489).

The spelling of 230312457 in words is "two hundred thirty million, three hundred twelve thousand, four hundred fifty-seven".

Divisors: 1 3 9 27 37 41 111 123 333 369 999 1107 1517 4551 5623 13653 16869 40959 50607 151821 208051 230543 624153 691629 1872459 2074887 5617377 6224661 8530091 25590273 76770819 230312457