Base | Representation |
---|---|
bin | 1000100100111011100110 |
3 | 11020020020220 |
4 | 20210323212 |
5 | 1033422142 |
6 | 120105210 |
7 | 25053111 |
oct | 10447346 |
9 | 4206226 |
10 | 2248422 |
11 | 12a6300 |
12 | 905206 |
13 | 609537 |
14 | 427578 |
15 | 2e62ec |
hex | 224ee6 |
2248422 has 48 divisors (see below), whose sum is σ = 5234880. Its totient is φ = 641520.
The previous prime is 2248381. The next prime is 2248423.
2248422 is nontrivially palindromic in base 10.
2248422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 2248392 and 2248401.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2248423) 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, 13713 + ... + 13875.
It is an arithmetic number, because the mean of its divisors is an integer number (109060).
22248422 is an apocalyptic number.
2248422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2248422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617440).
2248422 is an abundant number, since it is smaller than the sum of its proper divisors (2986458).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2248422 is a wasteful number, since it uses less digits than its factorization.
2248422 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 209 (or 198 counting only the distinct ones).
The product of its digits is 2048, while the sum is 24.
The square root of 2248422 is about 1499.4739077423. The cubic root of 2248422 is about 131.0064289912.
It can be divided in two parts, 224 and 8422, that added together give a triangular number (8646 = T131).
The spelling of 2248422 in words is "two million, two hundred forty-eight thousand, four hundred twenty-two".
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