Base | Representation |
---|---|
bin | 1000100100011100… |
… | …0100110010101000 |
3 | 12221022111000221211 |
4 | 2021013010302220 |
5 | 14202341130344 |
6 | 1020132042504 |
7 | 111001336600 |
oct | 21107046250 |
9 | 5838430854 |
10 | 2300333224 |
11 | a80529442 |
12 | 542463434 |
13 | 2a8760a27 |
14 | 17b717c00 |
15 | d6e3a334 |
hex | 891c4ca8 |
2300333224 has 72 divisors (see below), whose sum is σ = 5245409610. Its totient is φ = 942908736.
The previous prime is 2300333219. The next prime is 2300333237. The reversal of 2300333224 is 4223330032.
It can be written as a sum of positive squares in only one way, i.e., 1620062500 + 680270724 = 40250^2 + 26082^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2300333195 and 2300333204.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201822 + ... + 212914.
Almost surely, 22300333224 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 2300333224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622704805).
2300333224 is an abundant number, since it is smaller than the sum of its proper divisors (2945076386).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300333224 is a wasteful number, since it uses less digits than its factorization.
2300333224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11159 (or 11125 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 22.
The square root of 2300333224 is about 47961.7892076599. The cubic root of 2300333224 is about 1320.0698662132.
Adding to 2300333224 its reverse (4223330032), we get a palindrome (6523663256).
The spelling of 2300333224 in words is "two billion, three hundred million, three hundred thirty-three thousand, two hundred twenty-four".
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