Base | Representation |
---|---|
bin | 1101011011011100011… |
… | …0100101110100100000 |
3 | 211001111020120201200200 |
4 | 3112313012211310200 |
5 | 12234441014144432 |
6 | 253552353345200 |
7 | 22445043025254 |
oct | 3266706456440 |
9 | 731436521620 |
10 | 230705224992 |
11 | 899290a3200 |
12 | 38866868200 |
13 | 189a8832968 |
14 | b248064264 |
15 | 6003e53a7c |
hex | 35b71a5d20 |
230705224992 has 486 divisors, whose sum is σ = 754231135203. Its totient is φ = 66840364800.
The previous prime is 230705224889. The next prime is 230705224999. The reversal of 230705224992 is 299422507032.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
230705224992 is a `hidden beast` number, since 2 + 30 + 7 + 0 + 522 + 4 + 9 + 92 = 666.
230705224992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 115352612496 + 115352612496 = 339636^2 + 339636^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=339636.
It is not an unprimeable number, because it can be changed into a prime (230705224999) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2779580983 + ... + 2779581065.
Almost surely, 2230705224992 is an apocalyptic number.
230705224992 is a gapful number since it is divisible by the number (22) 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 230705224992
230705224992 is an abundant number, since it is smaller than the sum of its proper divisors (523525910211).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230705224992 is a wasteful number, since it uses less digits than its factorization.
230705224992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 266 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 544320, while the sum is 45.
The spelling of 230705224992 in words is "two hundred thirty billion, seven hundred five million, two hundred twenty-four thousand, nine hundred ninety-two".
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