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230831300 = 225272983137
BaseRepresentation
bin11011100001000…
…11010011000100
3121002100110000102
431300203103010
5433043100200
634523303232
75502014360
oct1560432304
9532313012
10230831300
11109330a77
126537ab18
1338a9078b
142292a2a0
15153e96d5
hexdc234c4

230831300 has 144 divisors (see below), whose sum is σ = 603711360. Its totient is φ = 74941440.

The previous prime is 230831299. The next prime is 230831303. The reversal of 230831300 is 3138032.

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

It is not an unprimeable number, because it can be changed into a prime (230831303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1684832 + ... + 1684968.

It is an arithmetic number, because the mean of its divisors is an integer number (4192440).

Almost surely, 2230831300 is an apocalyptic number.

230831300 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 230831300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301855680).

230831300 is an abundant number, since it is smaller than the sum of its proper divisors (372880060).

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

230831300 is a wasteful number, since it uses less digits than its factorization.

230831300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 230831300 is about 15193.1333173905. The cubic root of 230831300 is about 613.4298413302.

Adding to 230831300 its reverse (3138032), we get a palindrome (233969332).

The spelling of 230831300 in words is "two hundred thirty million, eight hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 83 100 116 137 140 145 166 175 203 274 290 332 350 406 415 548 580 581 685 700 725 812 830 959 1015 1162 1370 1450 1660 1918 2030 2075 2324 2407 2740 2900 2905 3425 3836 3973 4060 4150 4795 4814 5075 5810 6850 7946 8300 9590 9628 10150 11371 11620 12035 13700 14525 15892 16849 19180 19865 20300 22742 23975 24070 27811 29050 33698 39730 45484 47950 48140 55622 56855 58100 60175 67396 79460 79597 84245 95900 99325 111244 113710 120350 139055 159194 168490 198650 227420 240700 278110 284275 318388 329759 336980 397300 397985 421225 556220 568550 659518 695275 795970 842450 1137100 1319036 1390550 1591940 1648795 1684900 1989925 2308313 2781100 3297590 3979850 4616626 6595180 7959700 8243975 9233252 11541565 16487950 23083130 32975900 46166260 57707825 115415650 230831300