Base | Representation |
---|---|
bin | 1100000000011101… |
… | …1001101110000000 |
3 | 22022121221210022000 |
4 | 3000013121232000 |
5 | 23100112301244 |
6 | 1251455344000 |
7 | 142605312624 |
oct | 30007315600 |
9 | 8277853260 |
10 | 3223165824 |
11 | 140443620a |
12 | 75b522000 |
13 | 3c49bcc18 |
14 | 2280d9184 |
15 | 13ce77169 |
hex | c01d9b80 |
3223165824 has 128 divisors (see below), whose sum is σ = 9669396000. Its totient is φ = 1056706560.
The previous prime is 3223165823. The next prime is 3223165831. The reversal of 3223165824 is 4285613223.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3223165823) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203172 + ... + 218460.
Almost surely, 23223165824 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 3223165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834698000).
3223165824 is an abundant number, since it is smaller than the sum of its proper divisors (6446230176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3223165824 is a wasteful number, since it uses less digits than its factorization.
3223165824 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15373 (or 15355 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The square root of 3223165824 is about 56772.9321419988. The cubic root of 3223165824 is about 1477.1600372200.
The spelling of 3223165824 in words is "three billion, two hundred twenty-three million, one hundred sixty-five thousand, eight hundred twenty-four".
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