Base | Representation |
---|---|
bin | 1000000010101111… |
… | …1011110000101000 |
3 | 12120110112121001210 |
4 | 2000223323300220 |
5 | 13410201004431 |
6 | 554122513120 |
7 | 104334126303 |
oct | 20053736050 |
9 | 5513477053 |
10 | 2159000616 |
11 | a08777133 |
12 | 5030657a0 |
13 | 2853a7c76 |
14 | 166a47b3a |
15 | c981dd46 |
hex | 80afbc28 |
2159000616 has 96 divisors (see below), whose sum is σ = 5790536640. Its totient is φ = 669537792.
The previous prime is 2159000603. The next prime is 2159000617. The reversal of 2159000616 is 6160009512.
2159000616 is a nontrivial binomial coefficient, being equal to C(65712, 2).
It is a super-2 number, since 2×21590006162 = 9322567319776758912, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2159000617) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754260 + ... + 757116.
It is an arithmetic number, because the mean of its divisors is an integer number (60318090).
Almost surely, 22159000616 is an apocalyptic number.
2159000616 is the 65711-st triangular number and also the 32856-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2159000616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895268320).
2159000616 is an abundant number, since it is smaller than the sum of its proper divisors (3631536024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2159000616 is a wasteful number, since it uses less digits than its factorization.
2159000616 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2963 (or 2922 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 30.
The square root of 2159000616 is about 46465.0472505947. The cubic root of 2159000616 is about 1292.4614214535.
The spelling of 2159000616 in words is "two billion, one hundred fifty-nine million, six hundred sixteen", and thus it is an aban number.
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