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230560288 = 25721971109
BaseRepresentation
bin11011011111000…
…01001000100000
3121001211200020221
431233201020200
5433010412123
634513412424
75466505300
oct1557411040
9531750227
10230560288
111091663a2
126526a114
13389c730a
1422899600
151539425d
hexdbe1220

230560288 has 144 divisors (see below), whose sum is σ = 568814400. Its totient is φ = 91445760.

The previous prime is 230560277. The next prime is 230560289. The reversal of 230560288 is 882065032.

230560288 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 (230560289) 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, 2115178 + ... + 2115286.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2230560288 is an apocalyptic number.

230560288 is a gapful number since it is divisible by the number (28) 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 230560288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284407200).

230560288 is an abundant number, since it is smaller than the sum of its proper divisors (338254112).

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

230560288 is a wasteful number, since it uses less digits than its factorization.

230560288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 230560288 is about 15184.2118004195. The cubic root of 230560288 is about 613.1896775505.

The spelling of 230560288 in words is "two hundred thirty million, five hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 71 76 98 109 112 133 142 152 196 218 224 266 284 304 392 436 497 532 568 608 763 784 872 931 994 1064 1136 1349 1526 1568 1744 1862 1988 2071 2128 2272 2698 3052 3479 3488 3724 3976 4142 4256 5341 5396 6104 6958 7448 7739 7952 8284 9443 10682 10792 12208 13916 14497 14896 15478 15904 16568 18886 21364 21584 24416 27832 28994 29792 30956 33136 37772 42728 43168 54173 55664 57988 61912 66101 66272 75544 85456 101479 108346 111328 115976 123824 132202 147041 151088 170912 202958 216692 231952 247648 264404 294082 302176 379211 405916 433384 463904 528808 588164 758422 811832 866768 1029287 1057616 1176328 1516844 1623664 1733536 2058574 2115232 2352656 3033688 3247328 4117148 4705312 6067376 7205009 8234296 12134752 14410018 16468592 28820036 32937184 57640072 115280144 230560288