Base | Representation |
---|---|
bin | 1000100110111101101000 |
3 | 11020122200010 |
4 | 20212331220 |
5 | 1034203434 |
6 | 120211520 |
7 | 25116300 |
oct | 10467550 |
9 | 4218603 |
10 | 2256744 |
11 | 1301586 |
12 | 909ba0 |
13 | 610269 |
14 | 42a600 |
15 | 2e89e9 |
hex | 226f68 |
2256744 has 96 divisors (see below), whose sum is σ = 6976800. Its totient is φ = 604800.
The previous prime is 2256743. The next prime is 2256781. The reversal of 2256744 is 4476522.
2256744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (2256743) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22294 + ... + 22394.
It is an arithmetic number, because the mean of its divisors is an integer number (72675).
22256744 is an apocalyptic number.
2256744 is a gapful number since it is divisible by the number (24) 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 2256744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400).
2256744 is an abundant number, since it is smaller than the sum of its proper divisors (4720056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2256744 is a wasteful number, since it uses less digits than its factorization.
2256744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 143 (or 132 counting only the distinct ones).
The product of its digits is 13440, while the sum is 30.
The square root of 2256744 is about 1502.2463180185. The cubic root of 2256744 is about 131.1678597159.
The spelling of 2256744 in words is "two million, two hundred fifty-six thousand, seven hundred forty-four".
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