Base | Representation |
---|---|
bin | 1000101000010100101000 |
3 | 11020221022100 |
4 | 20220110220 |
5 | 1034343222 |
6 | 120253400 |
7 | 25141443 |
oct | 10502450 |
9 | 4227270 |
10 | 2262312 |
11 | 1305788 |
12 | 911260 |
13 | 612960 |
14 | 42c65a |
15 | 2ea4ac |
hex | 228528 |
2262312 has 48 divisors (see below), whose sum is σ = 6601140. Its totient is φ = 695808.
The previous prime is 2262269. The next prime is 2262313. The reversal of 2262312 is 2132622.
It can be written as a sum of positive squares in 2 ways, for example, as 2232036 + 30276 = 1494^2 + 174^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (2262313) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273 + ... + 2144.
22262312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2262312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300570).
2262312 is an abundant number, since it is smaller than the sum of its proper divisors (4338828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2262312 is a wasteful number, since it uses less digits than its factorization.
2262312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2442 (or 2435 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 2262312 is about 1504.0984010363. The cubic root of 2262312 is about 131.2756466889.
Adding to 2262312 its reverse (2132622), we get a palindrome (4394934).
The spelling of 2262312 in words is "two million, two hundred sixty-two thousand, three hundred twelve".
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