Base | Representation |
---|---|
bin | 11011011110011… |
… | …00011011000000 |
3 | 121001200100220000 |
4 | 31233030123000 |
5 | 433000203311 |
6 | 34511520000 |
7 | 5466003051 |
oct | 1557143300 |
9 | 531610800 |
10 | 230475456 |
11 | 109108692 |
12 | 65229000 |
13 | 38997813 |
14 | 22876728 |
15 | 15379056 |
hex | dbcc6c0 |
230475456 has 140 divisors (see below), whose sum is σ = 713274672. Its totient is φ = 73446912.
The previous prime is 230475437. The next prime is 230475533. The reversal of 230475456 is 654574032.
230475456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 230475456.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118266 + ... + 120198.
Almost surely, 2230475456 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356637336).
230475456 is an abundant number, since it is smaller than the sum of its proper divisors (482799216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230475456 is a wasteful number, since it uses less digits than its factorization.
230475456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1980 (or 1961 counting only the distinct ones).
The product of its (nonzero) digits is 100800, while the sum is 36.
The square root of 230475456 is about 15181.4181155780. The cubic root of 230475456 is about 613.1144629674.
The spelling of 230475456 in words is "two hundred thirty million, four hundred seventy-five thousand, four hundred fifty-six".
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