Base | Representation |
---|---|
bin | 1100011111001110… |
… | …1110101110000000 |
3 | 22122121210202112000 |
4 | 3013303232232000 |
5 | 23331132223223 |
6 | 1312345504000 |
7 | 146033312436 |
oct | 30763565600 |
9 | 8577722460 |
10 | 3352226688 |
11 | 1470276588 |
12 | 7967a2000 |
13 | 41566a0b5 |
14 | 23b2d2d56 |
15 | 14946c543 |
hex | c7ceeb80 |
3352226688 has 128 divisors (see below), whose sum is σ = 9916032000. Its totient is φ = 1114891776.
The previous prime is 3352226681. The next prime is 3352226693. The reversal of 3352226688 is 8866222533.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×33522266882 = 22474847535478898688, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3352226681) 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 15 ways as a sum of consecutive naturals, for example, 2138481 + ... + 2140047.
It is an arithmetic number, because the mean of its divisors is an integer number (77469000).
Almost surely, 23352226688 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 3352226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958016000).
3352226688 is an abundant number, since it is smaller than the sum of its proper divisors (6563805312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3352226688 is a wasteful number, since it uses less digits than its factorization.
3352226688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2209 (or 2191 counting only the distinct ones).
The product of its digits is 829440, while the sum is 45.
The square root of 3352226688 is about 57898.4169731781. The cubic root of 3352226688 is about 1496.6185589657.
The spelling of 3352226688 in words is "three billion, three hundred fifty-two million, two hundred twenty-six thousand, six hundred eighty-eight".
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