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230288 = 2437389
BaseRepresentation
bin111000001110010000
3102200220012
4320032100
524332123
64534052
71646252
oct701620
9380805
10230288
11148023
12b1328
1380a86
145dcd2
1548378
hex38390

230288 has 20 divisors (see below), whose sum is σ = 459420. Its totient is φ = 111744.

The previous prime is 230281. The next prime is 230291. The reversal of 230288 is 882032.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 94864 = 368^2 + 308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230281) by changing a digit.

230288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (22971).

2230288 is an apocalyptic number.

It is an amenable number.

230288 is a deficient number, since it is larger than the sum of its proper divisors (229132).

230288 is a wasteful number, since it uses less digits than its factorization.

230288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 230288 is about 479.8833191516. The cubic root of 230288 is about 61.2948193406.

The spelling of 230288 in words is "two hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 37 74 148 296 389 592 778 1556 3112 6224 14393 28786 57572 115144 230288