Base | Representation |
---|---|
bin | 1000010000011101… |
… | …1111011100110110 |
3 | 12201110211201200100 |
4 | 2010013133130312 |
5 | 14014414300332 |
6 | 1003540254530 |
7 | 105633263250 |
oct | 20407373466 |
9 | 5643751610 |
10 | 2216556342 |
11 | a38208650 |
12 | 51a3a1446 |
13 | 2942aa500 |
14 | 17054acd0 |
15 | ce8dc67c |
hex | 841df736 |
2216556342 has 144 divisors (see below), whose sum is σ = 6484278528. Its totient is φ = 531385920.
The previous prime is 2216556341. The next prime is 2216556343. The reversal of 2216556342 is 2436556122.
2216556342 is a `hidden beast` number, since 2 + 2 + 16 + 5 + 5 + 634 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (2216556341) and next prime (2216556343).
It is a junction number, because it is equal to n+sod(n) for n = 2216556297 and 2216556306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2216556341) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229503 + ... + 238965.
It is an arithmetic number, because the mean of its divisors is an integer number (45029712).
Almost surely, 22216556342 is an apocalyptic number.
2216556342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2216556342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242139264).
2216556342 is an abundant number, since it is smaller than the sum of its proper divisors (4267722186).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2216556342 is a wasteful number, since it uses less digits than its factorization.
2216556342 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9515 (or 9499 counting only the distinct ones).
The product of its digits is 86400, while the sum is 36.
The square root of 2216556342 is about 47080.3179895803. The cubic root of 2216556342 is about 1303.8458779262.
The spelling of 2216556342 in words is "two billion, two hundred sixteen million, five hundred fifty-six thousand, three hundred forty-two".
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