Base | Representation |
---|---|
bin | 1000101011100001… |
… | …0010011010100000 |
3 | 20000101022211121200 |
4 | 2022320102122200 |
5 | 14232440330141 |
6 | 1023112121200 |
7 | 111511524564 |
oct | 21270223240 |
9 | 6011284550 |
10 | 2330011296 |
11 | a96259a78 |
12 | 550396200 |
13 | 2b1952312 |
14 | 1816416a4 |
15 | d984dab6 |
hex | 8ae126a0 |
2330011296 has 144 divisors (see below), whose sum is σ = 7121447424. Its totient is φ = 719972352.
The previous prime is 2330011259. The next prime is 2330011337. The reversal of 2330011296 is 6921100332.
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324481 + ... + 331583.
It is an arithmetic number, because the mean of its divisors is an integer number (49454496).
Almost surely, 22330011296 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 2330011296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560723712).
2330011296 is an abundant number, since it is smaller than the sum of its proper divisors (4791436128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2330011296 is a wasteful number, since it uses less digits than its factorization.
2330011296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7203 (or 7192 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 27.
The square root of 2330011296 is about 48270.1905527625. The cubic root of 2330011296 is about 1325.7226476420.
It can be divided in two parts, 23300 and 11296, that added together give a square (34596 = 1862).
The spelling of 2330011296 in words is "two billion, three hundred thirty million, eleven thousand, two hundred ninety-six".
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