Base | Representation |
---|---|
bin | 1000101000011000100100 |
3 | 11020221122200 |
4 | 20220120210 |
5 | 1034400224 |
6 | 120254500 |
7 | 25142253 |
oct | 10503044 |
9 | 4227580 |
10 | 2262564 |
11 | 1305997 |
12 | 911430 |
13 | 612ac5 |
14 | 42c79a |
15 | 2ea5c9 |
hex | 228624 |
2262564 has 36 divisors (see below), whose sum is σ = 6057324. Its totient is φ = 709632.
The previous prime is 2262563. The next prime is 2262569. The reversal of 2262564 is 4652622.
It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 1340964 = 960^2 + 1158^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is not an unprimeable number, because it can be changed into a prime (2262563) 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, 1237 + ... + 2460.
It is an arithmetic number, because the mean of its divisors is an integer number (168259).
22262564 is an apocalyptic number.
It is an amenable number.
2262564 is an abundant number, since it is smaller than the sum of its proper divisors (3794760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2262564 is a wasteful number, since it uses less digits than its factorization.
2262564 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3724 (or 3719 counting only the distinct ones).
The product of its digits is 5760, while the sum is 27.
The square root of 2262564 is about 1504.1821698185. The cubic root of 2262564 is about 131.2805207933.
The spelling of 2262564 in words is "two million, two hundred sixty-two thousand, five hundred sixty-four".
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