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8322263040 = 211357132229
BaseRepresentation
bin1111100000000101…
…11010100000000000
3210110222210202200110
413300002322200000
5114020444404130
63453450551320
7413143032360
oct76002724000
923428722613
108322263040
113590778443
121743138540
13a28237400
1458d3d49a0
1533a955ab0
hex1f00ba800

8322263040 has 576 divisors, whose sum is σ = 33092841600. Its totient is φ = 1748238336.

The previous prime is 8322263039. The next prime is 8322263063. The reversal of 8322263040 is 403622238.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8322262989 and 8322263007.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36341646 + ... + 36341874.

It is an arithmetic number, because the mean of its divisors is an integer number (57452850).

Almost surely, 28322263040 is an apocalyptic number.

8322263040 is a gapful number since it is divisible by the number (80) 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 8322263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546420800).

8322263040 is an abundant number, since it is smaller than the sum of its proper divisors (24770578560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8322263040 is a wasteful number, since it uses less digits than its factorization.

8322263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 8322263040 is about 91226.4382731234. The cubic root of 8322263040 is about 2026.5025105575.

Adding to 8322263040 its reverse (403622238), we get a palindrome (8725885278).

The spelling of 8322263040 in words is "eight billion, three hundred twenty-two million, two hundred sixty-three thousand, forty".