Base | Representation |
---|---|
bin | 1000100010001100… |
… | …0001010111010000 |
3 | 12220122200212022111 |
4 | 2020203001113100 |
5 | 14142431211000 |
6 | 1015153315104 |
7 | 110525114161 |
oct | 21043012720 |
9 | 5818625274 |
10 | 2290882000 |
11 | a76163610 |
12 | 53b265a94 |
13 | 2a6801ba4 |
14 | 17a377768 |
15 | d61becba |
hex | 888c15d0 |
2290882000 has 160 divisors (see below), whose sum is σ = 6108680448. Its totient is φ = 824000000.
The previous prime is 2290881997. The next prime is 2290882049. The reversal of 2290882000 is 2880922.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2221485 + ... + 2222515.
Almost surely, 22290882000 is an apocalyptic number.
2290882000 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 2290882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054340224).
2290882000 is an abundant number, since it is smaller than the sum of its proper divisors (3817798448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2290882000 is a wasteful number, since it uses less digits than its factorization.
2290882000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1166 (or 1150 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 31.
The square root of 2290882000 is about 47863.1591101131. The cubic root of 2290882000 is about 1318.2594905408.
The spelling of 2290882000 in words is "two billion, two hundred ninety million, eight hundred eighty-two thousand".
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