[go: up one dir, main page]

Search a number
-
+
230313300 = 223527109673
BaseRepresentation
bin11011011101001…
…00110101010100
3121001101010110020
431232210311110
5432430011200
634504225140
75464426230
oct1556446524
9531333406
10230313300
11109007878
126516b1b0
133893ba79
14228335c0
1515345ea0
hexdba4d54

230313300 has 72 divisors (see below), whose sum is σ = 761576256. Its totient is φ = 52642560.

The previous prime is 230313287. The next prime is 230313311. The reversal of 230313300 is 3313032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230313300.

It is a congruent number.

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, 52737 + ... + 56936.

It is an arithmetic number, because the mean of its divisors is an integer number (10577448).

Almost surely, 2230313300 is an apocalyptic number.

230313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230313300 is an abundant number, since it is smaller than the sum of its proper divisors (531262956).

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

230313300 is a wasteful number, since it uses less digits than its factorization.

230313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109697 (or 109690 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 230313300 is about 15176.0765680725. The cubic root of 230313300 is about 612.9706392444.

Adding to 230313300 its reverse (3313032), we get a palindrome (233626332).

The spelling of 230313300 in words is "two hundred thirty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 109673 219346 329019 438692 548365 658038 767711 1096730 1316076 1535422 1645095 2193460 2303133 2741825 3070844 3290190 3838555 4606266 5483650 6580380 7677110 8225475 9212532 10967300 11515665 15354220 16450950 19192775 23031330 32901900 38385550 46062660 57578325 76771100 115156650 230313300