Base | Representation |
---|---|
bin | 11011011100111… |
… | …00001010000000 |
3 | 121001022022200221 |
4 | 31232130022000 |
5 | 432422342020 |
6 | 34503352424 |
7 | 5464220506 |
oct | 1556341200 |
9 | 531268627 |
10 | 230277760 |
11 | 108a930a9 |
12 | 65152714 |
13 | 3892883b |
14 | 22824676 |
15 | 1533a6aa |
hex | db9c280 |
230277760 has 64 divisors (see below), whose sum is σ = 555726600. Its totient is φ = 91238400.
The previous prime is 230277743. The next prime is 230277781. The reversal of 230277760 is 67772032.
It can be written as a sum of positive squares in 4 ways, for example, as 173606976 + 56670784 = 13176^2 + 7528^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68110 + ... + 71410.
Almost surely, 2230277760 is an apocalyptic number.
230277760 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 230277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277863300).
230277760 is an abundant number, since it is smaller than the sum of its proper divisors (325448840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230277760 is a wasteful number, since it uses less digits than its factorization.
230277760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3429 (or 3417 counting only the distinct ones).
The product of its (nonzero) digits is 24696, while the sum is 34.
The square root of 230277760 is about 15174.9056010243. The cubic root of 230277760 is about 612.9391081414.
The spelling of 230277760 in words is "two hundred thirty million, two hundred seventy-seven thousand, seven hundred sixty".
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