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83220566000 = 245311134367101
BaseRepresentation
bin100110110000001010…
…1010000111111110000
321221210210011210000012
41031200111100333300
52330413431103000
6102121521314052
76004166065565
oct1154025207760
9257723153005
1083220566000
1132325926a80
1214166495928
137b03424580
14405679886c
1522710d0735
hex1360550ff0

83220566000 has 640 divisors, whose sum is σ = 247946130432. Its totient is φ = 26611200000.

The previous prime is 83220565999. The next prime is 83220566003. The reversal of 83220566000 is 66502238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83220566003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 823965950 + ... + 823966050.

Almost surely, 283220566000 is an apocalyptic number.

83220566000 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 83220566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123973065216).

83220566000 is an abundant number, since it is smaller than the sum of its proper divisors (164725564432).

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

83220566000 is a wasteful number, since it uses less digits than its factorization.

83220566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 83220566000 in words is "eighty-three billion, two hundred twenty million, five hundred sixty-six thousand".