| Base | Representation |
|---|---|
| bin | 1010100010110010… |
| … | …1111111001010000 |
| 3 | 21022020201021112122 |
| 4 | 2220230233321100 |
| 5 | 21244024142200 |
| 6 | 1144503113412 |
| 7 | 130065114443 |
| oct | 25054577120 |
| 9 | 7266637478 |
| 10 | 2830302800 |
| 11 | 12226a5426 |
| 12 | 66ba42868 |
| 13 | 3614a9cb0 |
| 14 | 1cbc7165a |
| 15 | 118723385 |
| hex | a8b2fe50 |
2830302800 has 240 divisors, whose sum is σ = 7855090992. Its totient is φ = 970752000.
The previous prime is 2830302799. The next prime is 2830302841. The reversal of 2830302800 is 82030382.
2830302800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 24 ways, for example, as 1886338624 + 943964176 = 43432^2 + 30724^2 .
It is a super-2 number, since 2×28303028002 = 16021227879375680000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a self number, because there is not a number n which added to its sum of digits gives 2830302800.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8928242 + ... + 8928558.
Almost surely, 22830302800 is an apocalyptic number.
2830302800 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 2830302800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927545496).
2830302800 is an abundant number, since it is smaller than the sum of its proper divisors (5024788192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2830302800 is a wasteful number, since it uses less digits than its factorization.
2830302800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 466 (or 455 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 26.
The square root of 2830302800 is about 53200.5902222898. The cubic root of 2830302800 is about 1414.5261058377.
The spelling of 2830302800 in words is "two billion, eight hundred thirty million, three hundred two thousand, eight hundred".
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