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8322070680 = 233357111923229
BaseRepresentation
bin1111100000000100…
…01011100010011000
3210110222102222211000
413300002023202120
5114020422230210
63453442505000
7413141301510
oct76002134230
923428388730
108322070680
113590656970
121743065160
13a2819a9a1
1458d384840
1533a918ac0
hex1f008b898

8322070680 has 1024 divisors, whose sum is σ = 38154240000. Its totient is φ = 1560176640.

The previous prime is 8322070619. The next prime is 8322070681. The reversal of 8322070680 is 860702238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8322070681) 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 255 ways as a sum of consecutive naturals, for example, 36340806 + ... + 36341034.

It is an arithmetic number, because the mean of its divisors is an integer number (37260000).

Almost surely, 28322070680 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 8322070680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077120000).

8322070680 is an abundant number, since it is smaller than the sum of its proper divisors (29832169320).

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

8322070680 is a wasteful number, since it uses less digits than its factorization.

8322070680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8322070680 is about 91225.3839674024. The cubic root of 8322070680 is about 2026.4868969748.

The spelling of 8322070680 in words is "eight billion, three hundred twenty-two million, seventy thousand, six hundred eighty".