| Base | Representation |
|---|---|
| bin | 1000100000010000… |
| … | …1101111000010000 |
| 3 | 12220002111121020000 |
| 4 | 2020010031320100 |
| 5 | 14133344304200 |
| 6 | 1014304250000 |
| 7 | 110366352261 |
| oct | 21004157020 |
| 9 | 5802447200 |
| 10 | 2282806800 |
| 11 | a7164859a |
| 12 | 538610900 |
| 13 | 2a4c35471 |
| 14 | 179274968 |
| 15 | d5627300 |
| hex | 8810de10 |
2282806800 has 150 divisors (see below), whose sum is σ = 8192926698. Its totient is φ = 608739840.
The previous prime is 2282806793. The next prime is 2282806807. The reversal of 2282806800 is 86082822.
It is an interprime number because it is at equal distance from previous prime (2282806793) and next prime (2282806807).
It can be written as a sum of positive squares in 3 ways, for example, as 21233664 + 2261573136 = 4608^2 + 47556^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a super-2 number, since 2×22828068002 = 10422413772252480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2282806807) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2829 + ... + 67628.
Almost surely, 22282806800 is an apocalyptic number.
2282806800 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 2282806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096463349).
2282806800 is an abundant number, since it is smaller than the sum of its proper divisors (5910119898).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2282806800 is a wasteful number, since it uses less digits than its factorization.
2282806800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 70487 (or 70467 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 2282806800 is about 47778.7274841011. The cubic root of 2282806800 is about 1316.7087426245.
The spelling of 2282806800 in words is "two billion, two hundred eighty-two million, eight hundred six thousand, eight hundred".
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