Base | Representation |
---|---|
bin | 1111010100010011… |
… | …10010000000000000 |
3 | 210020002210000000000 |
4 | 13222021302000000 |
5 | 113320142244221 |
6 | 3440000000000 |
7 | 410532513633 |
oct | 75211620000 |
9 | 23202700000 |
10 | 8223399936 |
11 | 353a9930a4 |
12 | 1716000000 |
13 | a1090122b |
14 | 58021bc1a |
15 | 331e27e26 |
hex | 1ea272000 |
8223399936 has 308 divisors, whose sum is σ = 26119646262. Its totient is φ = 2579890176.
The previous prime is 8223399931. The next prime is 8223399997. The reversal of 8223399936 is 6399933228.
It can be written as a sum of positive squares in only one way, i.e., 6046617600 + 2176782336 = 77760^2 + 46656^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8223399931) 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 21 ways as a sum of consecutive naturals, for example, 483729400 + ... + 483729416.
Almost surely, 28223399936 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8223399936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13059823131).
8223399936 is an abundant number, since it is smaller than the sum of its proper divisors (17896246326).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8223399936 is an frugal number, since it uses more digits than its factorization.
8223399936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73 (or 22 counting only the distinct ones).
The product of its digits is 3779136, while the sum is 54.
The square root of 8223399936 is about 90682.9638686341. The cubic root of 8223399936 is about 2018.4460106495.
The spelling of 8223399936 in words is "eight billion, two hundred twenty-three million, three hundred ninety-nine thousand, nine hundred thirty-six".
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