Base | Representation |
---|---|
bin | 11011011011110… |
… | …00100100100000 |
3 | 121001000220202102 |
4 | 31231320210200 |
5 | 432403211000 |
6 | 34500305532 |
7 | 5463042530 |
oct | 1555704440 |
9 | 531026672 |
10 | 230132000 |
11 | 1089a363a |
12 | 650a22a8 |
13 | 388a73a7 |
14 | 227c74c0 |
15 | 1530c3d5 |
hex | db78920 |
230132000 has 96 divisors (see below), whose sum is σ = 646289280. Its totient is φ = 78892800.
The previous prime is 230131981. The next prime is 230132093. The reversal of 230132000 is 231032.
It is an unprimeable number.
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, 23891 + ... + 32109.
It is an arithmetic number, because the mean of its divisors is an integer number (6732180).
Almost surely, 2230132000 is an apocalyptic number.
230132000 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 230132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323144640).
230132000 is an abundant number, since it is smaller than the sum of its proper divisors (416157280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230132000 is an equidigital number, since it uses as much as digits as its factorization.
230132000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8251 (or 8233 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 11.
The square root of 230132000 is about 15170.1021750020. The cubic root of 230132000 is about 612.8097558591.
Adding to 230132000 its reverse (231032), we get a palindrome (230363032).
The spelling of 230132000 in words is "two hundred thirty million, one hundred thirty-two thousand".
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