Search a number
-
+
230010300 = 223352136553
BaseRepresentation
bin11011011010110…
…10110110111100
3121000210201211000
431231122312330
5432340312200
634453530300
75462024652
oct1555326674
9530721730
10230010300
11108920163
1265043990
1338863b90
1422794dd2
15152d6300
hexdb5adbc

230010300 has 144 divisors (see below), whose sum is σ = 796442080. Its totient is φ = 56609280.

The previous prime is 230010293. The next prime is 230010329. The reversal of 230010300 is 3010032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31824 + ... + 38376.

Almost surely, 2230010300 is an apocalyptic number.

230010300 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 230010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398221040).

230010300 is an abundant number, since it is smaller than the sum of its proper divisors (566431780).

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

230010300 is a wasteful number, since it uses less digits than its factorization.

230010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 230010300 is about 15166.0904652452. The cubic root of 230010300 is about 612.7017133768.

Adding to 230010300 its reverse (3010032), we get a palindrome (233020332).

The spelling of 230010300 in words is "two hundred thirty million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3900 5850 6553 7020 8775 11700 13106 17550 19659 26212 32765 35100 39318 58977 65530 78636 85189 98295 117954 131060 163825 170378 176931 196590 235908 255567 294885 327650 340756 353862 393180 425945 491475 511134 589770 655300 707724 766701 851890 884655 982950 1022268 1179540 1277835 1474425 1533402 1703780 1769310 1965900 2129725 2300103 2555670 2948850 3066804 3538620 3833505 4259450 4423275 4600206 5111340 5897700 6389175 7667010 8518900 8846550 9200412 11500515 12778350 15334020 17693100 19167525 23001030 25556700 38335050 46002060 57502575 76670100 115005150 230010300