Base | Representation |
---|---|
bin | 11011100010000… |
… | …10001000000000 |
3 | 121002120212020000 |
4 | 31301002020000 |
5 | 433111120233 |
6 | 34530120000 |
7 | 5503051452 |
oct | 1561021000 |
9 | 532525200 |
10 | 230957568 |
11 | 109407926 |
12 | 65420000 |
13 | 38b060aa |
14 | 229602d2 |
15 | 15421d13 |
hex | dc42200 |
230957568 has 100 divisors (see below), whose sum is σ = 689471310. Its totient is φ = 76972032.
The previous prime is 230957561. The next prime is 230957569. The reversal of 230957568 is 865759032.
It is a happy number.
230957568 is a `hidden beast` number, since 2 + 30 + 9 + 57 + 568 = 666.
It can be written as a sum of positive squares in only one way, i.e., 219988224 + 10969344 = 14832^2 + 3312^2 .
It is a nialpdrome in base 12 and base 16.
It is not an unprimeable number, because it can be changed into a prime (230957561) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38688 + ... + 44256.
Almost surely, 2230957568 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 230957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344735655).
230957568 is an abundant number, since it is smaller than the sum of its proper divisors (458513742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230957568 is an frugal number, since it uses more digits than its factorization.
230957568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5599 (or 5574 counting only the distinct ones).
The product of its (nonzero) digits is 453600, while the sum is 45.
The square root of 230957568 is about 15197.2881791456. The cubic root of 230957568 is about 613.5416725538.
The spelling of 230957568 in words is "two hundred thirty million, nine hundred fifty-seven thousand, five hundred sixty-eight".
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