Base | Representation |
---|---|
bin | 11011011110111… |
… | …11011010000000 |
3 | 121001211022120000 |
4 | 31233133122000 |
5 | 433010200331 |
6 | 34513320000 |
7 | 5466445545 |
oct | 1557373200 |
9 | 531738500 |
10 | 230553216 |
11 | 109161053 |
12 | 65266000 |
13 | 389c402a |
14 | 22896bcc |
15 | 153920e6 |
hex | dbdf680 |
230553216 has 160 divisors (see below), whose sum is σ = 705838980. Its totient is φ = 74649600.
The previous prime is 230553187. The next prime is 230553223. The reversal of 230553216 is 612355032.
It can be written as a sum of positive squares in 2 ways, for example, as 193098816 + 37454400 = 13896^2 + 6120^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 230553216.
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, 383316 + ... + 383916.
Almost surely, 2230553216 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 230553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352919490).
230553216 is an abundant number, since it is smaller than the sum of its proper divisors (475285764).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230553216 is an equidigital number, since it uses as much as digits as its factorization.
230553216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 664 (or 643 counting only the distinct ones).
The product of its (nonzero) digits is 5400, while the sum is 27.
The square root of 230553216 is about 15183.9789251698. The cubic root of 230553216 is about 613.1834080092.
The spelling of 230553216 in words is "two hundred thirty million, five hundred fifty-three thousand, two hundred sixteen".
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