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230310024 = 233710912577
BaseRepresentation
bin11011011101001…
…00000010001000
3121001100221221220
431232210002020
5432424410044
634504202040
75464413540
oct1556440210
9531327856
10230310024
1110900536a
1265169320
133893a429
1422832320
1515345019
hexdba4088

230310024 has 64 divisors (see below), whose sum is σ = 664118400. Its totient is φ = 65193984.

The previous prime is 230310023. The next prime is 230310029. The reversal of 230310024 is 420013032.

It is a junction number, because it is equal to n+sod(n) for n = 230309985 and 230310012.

It is not an unprimeable number, because it can be changed into a prime (230310023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12024 + ... + 24600.

It is an arithmetic number, because the mean of its divisors is an integer number (10376850).

Almost surely, 2230310024 is an apocalyptic number.

230310024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230310024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332059200).

230310024 is an abundant number, since it is smaller than the sum of its proper divisors (433808376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230310024 is a wasteful number, since it uses less digits than its factorization.

230310024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12702 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230310024 is about 15175.9686346539. The cubic root of 230310024 is about 612.9677329116.

Adding to 230310024 its reverse (420013032), we get a palindrome (650323056).

The spelling of 230310024 in words is "two hundred thirty million, three hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 327 436 654 763 872 1308 1526 2289 2616 3052 4578 6104 9156 12577 18312 25154 37731 50308 75462 88039 100616 150924 176078 264117 301848 352156 528234 704312 1056468 1370893 2112936 2741786 4112679 5483572 8225358 9596251 10967144 16450716 19192502 28788753 32901432 38385004 57577506 76770008 115155012 230310024