Search a number
-
+
230313000 = 2335376771
BaseRepresentation
bin11011011101001…
…00110000101000
3121001101010001010
431232210300220
5432430004000
634504223520
75464425321
oct1556446050
9531333033
10230313000
11109007625
126516aba0
133893b8a8
1422833448
1515345d50
hexdba4c28

230313000 has 64 divisors (see below), whose sum is σ = 718585920. Its totient is φ = 61416000.

The previous prime is 230312993. The next prime is 230313001. The reversal of 230313000 is 313032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (230313001) 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 15 ways as a sum of consecutive naturals, for example, 35386 + ... + 41385.

It is an arithmetic number, because the mean of its divisors is an integer number (11227905).

Almost surely, 2230313000 is an apocalyptic number.

230313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230313000 is an abundant number, since it is smaller than the sum of its proper divisors (488272920).

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

230313000 is a wasteful number, since it uses less digits than its factorization.

230313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76795 (or 76781 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 230313000 is about 15176.0666840918. The cubic root of 230313000 is about 612.9703730979.

Adding to 230313000 its reverse (313032), we get a palindrome (230626032).

The spelling of 230313000 in words is "two hundred thirty million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 76771 153542 230313 307084 383855 460626 614168 767710 921252 1151565 1535420 1842504 1919275 2303130 3070840 3838550 4606260 5757825 7677100 9212520 9596375 11515650 15354200 19192750 23031300 28789125 38385500 46062600 57578250 76771000 115156500 230313000