Base | Representation |
---|---|
bin | 1000010011101011… |
… | …0110100011100000 |
3 | 12202102011202210012 |
4 | 2010322312203200 |
5 | 14031341122240 |
6 | 1005141024052 |
7 | 106155600653 |
oct | 20472664340 |
9 | 5672152705 |
10 | 2230020320 |
11 | a44874300 |
12 | 5229b5028 |
13 | 297012968 |
14 | 17225389a |
15 | d0b9bb65 |
hex | 84eb68e0 |
2230020320 has 144 divisors (see below), whose sum is σ = 5827762080. Its totient is φ = 805770240.
The previous prime is 2230020319. The next prime is 2230020341. The reversal of 2230020320 is 230200322.
It is a super-2 number, since 2×22300203202 = 9945981255225804800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2230020295 and 2230020304.
It is a congruent number.
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, 4433189 + ... + 4433691.
It is an arithmetic number, because the mean of its divisors is an integer number (40470570).
Almost surely, 22230020320 is an apocalyptic number.
2230020320 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 2230020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913881040).
2230020320 is an abundant number, since it is smaller than the sum of its proper divisors (3597741760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2230020320 is a wasteful number, since it uses less digits than its factorization.
2230020320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 769 (or 750 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 2230020320 is about 47223.0909619436. The cubic root of 2230020320 is about 1306.4805244121.
Adding to 2230020320 its reverse (230200322), we get a palindrome (2460220642).
The spelling of 2230020320 in words is "two billion, two hundred thirty million, twenty thousand, three hundred twenty".
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