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230871300 = 2235211431627
BaseRepresentation
bin11011100001011…
…01000100000100
3121002102110212220
431300231010010
5433100340200
634524212340
75502242112
oct1560550404
9532373786
10230871300
11109359030
126539a0b0
1338aa5a4a
142293aab2
15154064a0
hexdc2d104

230871300 has 144 divisors (see below), whose sum is σ = 746118912. Its totient is φ = 54633600.

The previous prime is 230871293. The next prime is 230871359. The reversal of 230871300 is 3178032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141087 + ... + 142713.

Almost surely, 2230871300 is an apocalyptic number.

230871300 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 230871300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373059456).

230871300 is an abundant number, since it is smaller than the sum of its proper divisors (515247612).

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

230871300 is a wasteful number, since it uses less digits than its factorization.

230871300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 230871300 is about 15194.4496445248. The cubic root of 230871300 is about 613.4652723664.

The spelling of 230871300 in words is "two hundred thirty million, eight hundred seventy-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1627 1650 1892 2150 2365 2580 2838 3225 3254 3300 4300 4730 4881 5676 6450 6508 7095 8135 9460 9762 11825 12900 14190 16270 17897 19524 23650 24405 28380 32540 35475 35794 40675 47300 48810 53691 69961 70950 71588 81350 89485 97620 107382 122025 139922 141900 162700 178970 209883 214764 244050 268455 279844 349805 357940 419766 447425 488100 536910 699610 769571 839532 894850 1049415 1073820 1342275 1399220 1539142 1749025 1789700 2098830 2308713 2684550 3078284 3498050 3847855 4197660 4617426 5247075 5369100 6996100 7695710 9234852 10494150 11543565 15391420 19239275 20988300 23087130 38478550 46174260 57717825 76957100 115435650 230871300