Base | Representation |
---|---|
bin | 1000100010001111… |
… | …0111110011101000 |
3 | 12220200010012012202 |
4 | 2020203313303220 |
5 | 14143010330000 |
6 | 1015202155332 |
7 | 110530033262 |
oct | 21043676350 |
9 | 5820105182 |
10 | 2291105000 |
11 | a762a6108 |
12 | 53b352b48 |
13 | 2a687c542 |
14 | 17a3d4b32 |
15 | d6215dd5 |
hex | 888f7ce8 |
2291105000 has 80 divisors (see below), whose sum is σ = 5442460980. Its totient is φ = 903744000.
The previous prime is 2291104997. The next prime is 2291105023. The reversal of 2291105000 is 5011922.
2291105000 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 10 ways, for example, as 10278436 + 2280826564 = 3206^2 + 47758^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 361862 + ... + 368138.
Almost surely, 22291105000 is an apocalyptic number.
2291105000 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 2291105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721230490).
2291105000 is an abundant number, since it is smaller than the sum of its proper divisors (3151355980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2291105000 is an equidigital number, since it uses as much as digits as its factorization.
2291105000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6376 (or 6357 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 20.
The square root of 2291105000 is about 47865.4886113158. The cubic root of 2291105000 is about 1318.3022633430.
Adding to 2291105000 its reverse (5011922), we get a palindrome (2296116922).
The spelling of 2291105000 in words is "two billion, two hundred ninety-one million, one hundred five thousand".
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