Base | Representation |
---|---|
bin | 1000100000000001000100 |
3 | 11012012122100 |
4 | 20200001010 |
5 | 1032301132 |
6 | 115432100 |
7 | 24640323 |
oct | 10400104 |
9 | 4165570 |
10 | 2228292 |
11 | 1292170 |
12 | 8b5630 |
13 | 600321 |
14 | 4200ba |
15 | 2e037c |
hex | 220044 |
2228292 has 72 divisors (see below), whose sum is σ = 6525792. Its totient is φ = 633600.
The previous prime is 2228243. The next prime is 2228299. The reversal of 2228292 is 2928222.
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
It is a zygodrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (2228299) 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, 6567 + ... + 6897.
It is an arithmetic number, because the mean of its divisors is an integer number (90636).
22228292 is an apocalyptic number.
2228292 is a gapful number since it is divisible by the number (22) 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 2228292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262896).
2228292 is an abundant number, since it is smaller than the sum of its proper divisors (4297500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2228292 is a wasteful number, since it uses less digits than its factorization.
2228292 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 369 (or 364 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 2228292 is about 1492.7464620625. The cubic root of 2228292 is about 130.6142919116.
The spelling of 2228292 in words is "two million, two hundred twenty-eight thousand, two hundred ninety-two".
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