Base | Representation |
---|---|
bin | 1000101011001100000000 |
3 | 11021112102000 |
4 | 20223030000 |
5 | 1040232143 |
6 | 120424000 |
7 | 25220610 |
oct | 10531400 |
9 | 4245360 |
10 | 2274048 |
11 | 1313587 |
12 | 918000 |
13 | 6180ba |
14 | 432a40 |
15 | 2edbd3 |
hex | 22b300 |
2274048 has 144 divisors (see below), whose sum is σ = 7848960. Its totient is φ = 635904.
The previous prime is 2274031. The next prime is 2274049. The reversal of 2274048 is 8404722.
2274048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2274049) 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 15 ways as a sum of consecutive naturals, for example, 48361 + ... + 48407.
22274048 is an apocalyptic number.
2274048 is a gapful number since it is divisible by the number (28) 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 2274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924480).
2274048 is an abundant number, since it is smaller than the sum of its proper divisors (5574912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2274048 is an equidigital number, since it uses as much as digits as its factorization.
2274048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 3584, while the sum is 27.
The square root of 2274048 is about 1507.9946949509. The cubic root of 2274048 is about 131.5022577164.
The spelling of 2274048 in words is "two million, two hundred seventy-four thousand, forty-eight".
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