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230259560 = 23517536389
BaseRepresentation
bin11011011100101…
…11101101101000
3121001021101201212
431232113231220
5432421301220
634503132252
75464113446
oct1556275550
9531241655
10230259560
11108a80463
1265144088
133892047b
142281bb96
15153350c5
hexdb97b68

230259560 has 64 divisors (see below), whose sum is σ = 558997200. Its totient is φ = 85037056.

The previous prime is 230259553. The next prime is 230259563. The reversal of 230259560 is 65952032.

It can be written as a sum of positive squares in 8 ways, for example, as 75655204 + 154604356 = 8698^2 + 12434^2 .

It is not an unprimeable number, because it can be changed into a prime (230259563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32846 + ... + 39234.

Almost surely, 2230259560 is an apocalyptic number.

230259560 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 230259560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279498600).

230259560 is an abundant number, since it is smaller than the sum of its proper divisors (328737640).

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

230259560 is a wasteful number, since it uses less digits than its factorization.

230259560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 230259560 is about 15174.3059149340. The cubic root of 230259560 is about 612.9229598376.

The spelling of 230259560 in words is "two hundred thirty million, two hundred fifty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2120 3604 4505 6389 7208 9010 12778 18020 25556 31945 36040 51112 63890 108613 127780 217226 255560 338617 434452 543065 677234 868904 1086130 1354468 1693085 2172260 2708936 3386170 4344520 5756489 6772340 11512978 13544680 23025956 28782445 46051912 57564890 115129780 230259560