Base | Representation |
---|---|
bin | 1000001110111110… |
… | …1111011000001000 |
3 | 12201001010101220112 |
4 | 2003233233120020 |
5 | 14011321030440 |
6 | 1003155013452 |
7 | 105526332065 |
oct | 20357573010 |
9 | 5631111815 |
10 | 2210330120 |
11 | a34745809 |
12 | 51829a288 |
13 | 292c0a55b |
14 | 16d7a9c6c |
15 | ce0ac965 |
hex | 83bef608 |
2210330120 has 64 divisors (see below), whose sum is σ = 5229241200. Its totient is φ = 839623680.
The previous prime is 2210330117. The next prime is 2210330159. The reversal of 2210330120 is 210330122.
It is a happy number.
2210330120 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 8 ways, for example, as 790396996 + 1419933124 = 28114^2 + 37682^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2210330095 and 2210330104.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55142 + ... + 86378.
Almost surely, 22210330120 is an apocalyptic number.
2210330120 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 2210330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614620600).
2210330120 is an abundant number, since it is smaller than the sum of its proper divisors (3018911080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2210330120 is a wasteful number, since it uses less digits than its factorization.
2210330120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31338 (or 31334 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 2210330120 is about 47014.1480833164. The cubic root of 2210330120 is about 1302.6239153257.
Adding to 2210330120 its reverse (210330122), we get a palindrome (2420660242).
The spelling of 2210330120 in words is "two billion, two hundred ten million, three hundred thirty thousand, one hundred twenty".
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