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230312300 = 225219432819
BaseRepresentation
bin11011011101001…
…00100101101100
3121001101002002012
431232210211230
5432424443200
634504220352
75464423301
oct1556444554
9531332065
10230312300
11109007049
126516a6b8
133893b48a
14228330a8
1515345a35
hexdba496c

230312300 has 72 divisors (see below), whose sum is σ = 538507200. Its totient is φ = 85216320.

The previous prime is 230312273. The next prime is 230312323. The reversal of 230312300 is 3213032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80291 + ... + 83109.

Almost surely, 2230312300 is an apocalyptic number.

230312300 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 230312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269253600).

230312300 is an abundant number, since it is smaller than the sum of its proper divisors (308194900).

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

230312300 is a wasteful number, since it uses less digits than its factorization.

230312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 230312300 is about 15176.0436214450. The cubic root of 230312300 is about 612.9697520883.

Adding to 230312300 its reverse (3213032), we get a palindrome (233525332).

The spelling of 230312300 in words is "two hundred thirty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 380 430 475 817 860 950 1075 1634 1900 2150 2819 3268 4085 4300 5638 8170 11276 14095 16340 20425 28190 40850 53561 56380 70475 81700 107122 121217 140950 214244 242434 267805 281900 484868 535610 606085 1071220 1212170 1339025 2303123 2424340 2678050 3030425 4606246 5356100 6060850 9212492 11515615 12121700 23031230 46062460 57578075 115156150 230312300