Base | Representation |
---|---|
bin | 11011100001111… |
… | …11111011110000 |
3 | 121002120101220120 |
4 | 31300333323300 |
5 | 433110323332 |
6 | 34530010240 |
7 | 5503013340 |
oct | 1560777360 |
9 | 532511816 |
10 | 230948592 |
11 | 109401106 |
12 | 65416980 |
13 | 38b01c94 |
14 | 2295ad20 |
15 | 1541e32c |
hex | dc3fef0 |
230948592 has 80 divisors (see below), whose sum is σ = 689598720. Its totient is φ = 65235456.
The previous prime is 230948581. The next prime is 230948593. The reversal of 230948592 is 295849032.
230948592 is digitally balanced in base 3, 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 (42).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230948593) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26043 + ... + 33765.
It is an arithmetic number, because the mean of its divisors is an integer number (8619984).
Almost surely, 2230948592 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 230948592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344799360).
230948592 is an abundant number, since it is smaller than the sum of its proper divisors (458650128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230948592 is a wasteful number, since it uses less digits than its factorization.
230948592 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7830 (or 7824 counting only the distinct ones).
The product of its (nonzero) digits is 155520, while the sum is 42.
The square root of 230948592 is about 15196.9928604313. The cubic root of 230948592 is about 613.5337241654.
It can be divided in two parts, 230948 and 592, that added together give a triangular number (231540 = T680).
The spelling of 230948592 in words is "two hundred thirty million, nine hundred forty-eight thousand, five hundred ninety-two".
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