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230531600 = 245213431031
BaseRepresentation
bin11011011110110…
…10001000010000
3121001210012220102
431233122020100
5433004002400
634513031532
75466325535
oct1557321020
9531705812
10230531600
11109146892
12652555a8
13389b7240
142288cd8c
151538a9d5
hexdbda210

230531600 has 120 divisors (see below), whose sum is σ = 610919232. Its totient is φ = 83059200.

The previous prime is 230531563. The next prime is 230531603. The reversal of 230531600 is 6135032.

230531600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230531603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223085 + ... + 224115.

Almost surely, 2230531600 is an apocalyptic number.

230531600 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 230531600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305459616).

230531600 is an abundant number, since it is smaller than the sum of its proper divisors (380387632).

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

230531600 is a wasteful number, since it uses less digits than its factorization.

230531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 230531600 is about 15183.2671056002. The cubic root of 230531600 is about 613.1642439784.

Adding to 230531600 its reverse (6135032), we get a palindrome (236666632).

The spelling of 230531600 in words is "two hundred thirty million, five hundred thirty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 43 50 52 65 80 86 100 104 130 172 200 208 215 260 325 344 400 430 520 559 650 688 860 1031 1040 1075 1118 1300 1720 2062 2150 2236 2600 2795 3440 4124 4300 4472 5155 5200 5590 8248 8600 8944 10310 11180 13403 13975 16496 17200 20620 22360 25775 26806 27950 41240 44333 44720 51550 53612 55900 67015 82480 88666 103100 107224 111800 134030 177332 206200 214448 221665 223600 268060 335075 354664 412400 443330 536120 576329 670150 709328 886660 1072240 1108325 1152658 1340300 1773320 2216650 2305316 2680600 2881645 3546640 4433300 4610632 5361200 5763290 8866600 9221264 11526580 14408225 17733200 23053160 28816450 46106320 57632900 115265800 230531600