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230245260 = 223572931871
BaseRepresentation
bin11011011100101…
…00001110001100
3121001020200010020
431232110032030
5432420322020
634502542140
75464023660
oct1556241614
9531220106
10230245260
11108a70743
1265137950
1338916acb
14228168a0
1515330c40
hexdb9438c

230245260 has 96 divisors (see below), whose sum is σ = 739694592. Its totient is φ = 52419840.

The previous prime is 230245259. The next prime is 230245289. The reversal of 230245260 is 62542032.

230245260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230245260.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122125 + ... + 123995.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152).

Almost surely, 2230245260 is an apocalyptic number.

230245260 is a gapful number since it is divisible by the number (20) 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 230245260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).

230245260 is an abundant number, since it is smaller than the sum of its proper divisors (509449332).

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

230245260 is a wasteful number, since it uses less digits than its factorization.

230245260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 230245260 is about 15173.8347163794. The cubic root of 230245260 is about 612.9102712877.

Adding to 230245260 its reverse (62542032), we get a palindrome (292787292).

The spelling of 230245260 in words is "two hundred thirty million, two hundred forty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 293 420 586 879 1172 1465 1758 1871 2051 2930 3516 3742 4102 4395 5613 5860 6153 7484 8204 8790 9355 10255 11226 12306 13097 17580 18710 20510 22452 24612 26194 28065 30765 37420 39291 41020 52388 56130 61530 65485 78582 112260 123060 130970 157164 196455 261940 392910 548203 785820 1096406 1644609 2192812 2741015 3289218 3837421 5482030 6578436 7674842 8223045 10964060 11512263 15349684 16446090 19187105 23024526 32892180 38374210 46049052 57561315 76748420 115122630 230245260