Base | Representation |
---|---|
bin | 1000100100111011100100 |
3 | 11020020020211 |
4 | 20210323210 |
5 | 1033422140 |
6 | 120105204 |
7 | 25053106 |
oct | 10447344 |
9 | 4206224 |
10 | 2248420 |
11 | 12a62a9 |
12 | 905204 |
13 | 609535 |
14 | 427576 |
15 | 2e62ea |
hex | 224ee4 |
2248420 has 36 divisors (see below), whose sum is σ = 5028660. Its totient is φ = 844288.
The previous prime is 2248381. The next prime is 2248423. The reversal of 2248420 is 248422.
2248420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 16384 + 2232036 = 128^2 + 1494^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2248391 and 2248400.
It is not an unprimeable number, because it can be changed into a prime (2248423) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5586 + ... + 5974.
It is an arithmetic number, because the mean of its divisors is an integer number (139685).
22248420 is an apocalyptic number.
2248420 is a gapful number since it is divisible by the number (20) 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 2248420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514330).
2248420 is an abundant number, since it is smaller than the sum of its proper divisors (2780240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2248420 is a wasteful number, since it uses less digits than its factorization.
2248420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 432 (or 413 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 22.
The square root of 2248420 is about 1499.4732408416. The cubic root of 2248420 is about 131.0063901473.
The spelling of 2248420 in words is "two million, two hundred forty-eight thousand, four hundred twenty".
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