Search a number
-
+
230880474 = 2321110311321
BaseRepresentation
bin11011100001011…
…11010011011010
3121002102221110200
431300233103122
5433101133344
634524323030
75502310626
oct1560572332
9532387420
10230880474
11109364a10
12653a3476
1338aa9c86
1422940186
1515409069
hexdc2f4da

230880474 has 48 divisors (see below), whose sum is σ = 551064384. Its totient is φ = 69278400.

The previous prime is 230880449. The next prime is 230880479. The reversal of 230880474 is 474088032.

230880474 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230880479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14734 + ... + 26054.

It is an arithmetic number, because the mean of its divisors is an integer number (11480508).

Almost surely, 2230880474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230880474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275532192).

230880474 is an abundant number, since it is smaller than the sum of its proper divisors (320183910).

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

230880474 is a wasteful number, since it uses less digits than its factorization.

230880474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11443 (or 11440 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 230880474 is about 15194.7515280771. The cubic root of 230880474 is about 613.4733978976.

The spelling of 230880474 in words is "two hundred thirty million, eight hundred eighty thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1854 2266 3399 6798 10197 11321 20394 22642 33963 67926 101889 124531 203778 249062 373593 747186 1120779 1166063 2241558 2332126 3498189 6996378 10494567 12826693 20989134 25653386 38480079 76960158 115440237 230880474