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230300 = 22527247
BaseRepresentation
bin111000001110011100
3102200220122
4320032130
524332200
64534112
71646300
oct701634
9380818
10230300
11148034
12b1338
1380a95
145dd00
1548385
hex3839c

230300 has 54 divisors (see below), whose sum is σ = 593712. Its totient is φ = 77280.

The previous prime is 230291. The next prime is 230303. The reversal of 230300 is 3032.

230300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

230300 is a nontrivial binomial coefficient, being equal to C(50, 4).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4877 + ... + 4923.

2230300 is an apocalyptic number.

230300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230300 is the 392-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

230300 is an abundant number, since it is smaller than the sum of its proper divisors (363412).

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

230300 is a wasteful number, since it uses less digits than its factorization.

230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 230300 is about 479.8958220281. The cubic root of 230300 is about 61.2958839859.

Adding to 230300 its reverse (3032), we get a palindrome (233332).

The spelling of 230300 in words is "two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 49 50 70 94 98 100 140 175 188 196 235 245 329 350 470 490 658 700 940 980 1175 1225 1316 1645 2303 2350 2450 3290 4606 4700 4900 6580 8225 9212 11515 16450 23030 32900 46060 57575 115150 230300