Base | Representation |
---|---|
bin | 1000100111101101… |
… | …0000101000100100 |
3 | 12222021020001101100 |
4 | 2021323100220210 |
5 | 14214341410340 |
6 | 1021341200100 |
7 | 111225534141 |
oct | 21173205044 |
9 | 5867201340 |
10 | 2314013220 |
11 | a88222422 |
12 | 546b60030 |
13 | 2ab5405bc |
14 | 17d4793c8 |
15 | d823d830 |
hex | 89ed0a24 |
2314013220 has 72 divisors (see below), whose sum is σ = 7054911864. Its totient is φ = 613928448.
The previous prime is 2314013201. The next prime is 2314013333. The reversal of 2314013220 is 223104132.
2314013220 is a `hidden beast` number, since 231 + 401 + 32 + 2 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 414448164 + 1899565056 = 20358^2 + 43584^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2314013193 and 2314013202.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2832 + ... + 68088.
It is an arithmetic number, because the mean of its divisors is an integer number (97984887).
Almost surely, 22314013220 is an apocalyptic number.
2314013220 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 2314013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527455932).
2314013220 is an abundant number, since it is smaller than the sum of its proper divisors (4740898644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2314013220 is a wasteful number, since it uses less digits than its factorization.
2314013220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65469 (or 65464 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2314013220 is about 48104.1912934829. The cubic root of 2314013220 is about 1322.6814980504.
Adding to 2314013220 its reverse (223104132), we get a palindrome (2537117352).
The spelling of 2314013220 in words is "two billion, three hundred fourteen million, thirteen thousand, two hundred twenty".
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