Base | Representation |
---|---|
bin | 11111010111101100110100 |
3 | 120110210120120 |
4 | 133113230310 |
5 | 4101123130 |
6 | 452131540 |
7 | 126620223 |
oct | 37275464 |
9 | 16423516 |
10 | 8223540 |
11 | 4707516 |
12 | 2906bb0 |
13 | 191c100 |
14 | 1140cba |
15 | ac6910 |
hex | 7d7b34 |
8223540 has 72 divisors (see below), whose sum is σ = 24964128. Its totient is φ = 2021760.
The previous prime is 8223499. The next prime is 8223541. The reversal of 8223540 is 453228.
8223540 is a nontrivial binomial coefficient, being equal to C(4056, 2).
It is a super-2 number, since 2×82235402 = 135253220263200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 8223540.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8223541) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9735 + ... + 10545.
It is an arithmetic number, because the mean of its divisors is an integer number (346724).
Almost surely, 28223540 is an apocalyptic number.
8223540 is the 4055-th triangular number and also the 2028-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8223540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482064).
8223540 is an abundant number, since it is smaller than the sum of its proper divisors (16740588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8223540 is a wasteful number, since it uses less digits than its factorization.
8223540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 849 (or 834 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 24.
The square root of 8223540 is about 2867.6715293074. The cubic root of 8223540 is about 201.8457470225.
Adding to 8223540 its reverse (453228), we get a palindrome (8676768).
The spelling of 8223540 in words is "eight million, two hundred twenty-three thousand, five hundred forty".
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