Base | Representation |
---|---|
bin | 1000101000010011001000 |
3 | 11020221011210 |
4 | 20220103020 |
5 | 1034342331 |
6 | 120253120 |
7 | 25141245 |
oct | 10502310 |
9 | 4227153 |
10 | 2262216 |
11 | 1305700 |
12 | 9111a0 |
13 | 6128b8 |
14 | 42c5cc |
15 | 2ea446 |
hex | 2284c8 |
2262216 has 96 divisors (see below), whose sum is σ = 6703200. Its totient is φ = 633600.
The previous prime is 2262209. The next prime is 2262223. The reversal of 2262216 is 6122622.
It is an interprime number because it is at equal distance from previous prime (2262209) and next prime (2262223).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2262192 and 2262201.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 55156 + ... + 55196.
It is an arithmetic number, because the mean of its divisors is an integer number (69825).
22262216 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 2262216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351600).
2262216 is an abundant number, since it is smaller than the sum of its proper divisors (4440984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2262216 is a wasteful number, since it uses less digits than its factorization.
2262216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91 (or 76 counting only the distinct ones).
The product of its digits is 576, while the sum is 21.
The square root of 2262216 is about 1504.0664878921. The cubic root of 2262216 is about 131.2737897920.
Adding to 2262216 its reverse (6122622), we get a palindrome (8384838).
It can be divided in two parts, 226 and 2216, that added together give a palindrome (2442).
The spelling of 2262216 in words is "two million, two hundred sixty-two thousand, two hundred sixteen".
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