Base | Representation |
---|---|
bin | 100100011101010… |
… | …0001110001101000 |
3 | 10011020212012012200 |
4 | 1020322201301220 |
5 | 10001131132443 |
6 | 321215340200 |
7 | 42212616600 |
oct | 11072416150 |
9 | 3136765180 |
10 | 1223302248 |
11 | 5785820a3 |
12 | 2a1821660 |
13 | 1665929ac |
14 | b8677c00 |
15 | 725dedd3 |
hex | 48ea1c68 |
1223302248 has 144 divisors (see below), whose sum is σ = 3871354500. Its totient is φ = 347945472.
The previous prime is 1223302247. The next prime is 1223302259. The reversal of 1223302248 is 8422033221.
It can be written as a sum of positive squares in 2 ways, for example, as 1212293124 + 11009124 = 34818^2 + 3318^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1223302243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 948388 + ... + 949676.
Almost surely, 21223302248 is an apocalyptic number.
1223302248 is a gapful number since it is divisible by the number (18) 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 1223302248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935677250).
1223302248 is an abundant number, since it is smaller than the sum of its proper divisors (2648052252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223302248 is a wasteful number, since it uses less digits than its factorization.
1223302248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1584 (or 1570 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 1223302248 is about 34975.7379907844. The cubic root of 1223302248 is about 1069.4929463500.
Adding to 1223302248 its reverse (8422033221), we get a palindrome (9645335469).
The spelling of 1223302248 in words is "one billion, two hundred twenty-three million, three hundred two thousand, two hundred forty-eight".
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