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805229568 = 210321113247
BaseRepresentation
bin101111111111101…
…101010000000000
32002010011220022100
4233333231100000
53122114321233
6211522510400
725645224033
oct5777552000
92063156270
10805229568
11383592990
121a5805400
13caa94300
1478d2b01a
154aa5b813
hex2ffed400

805229568 has 396 divisors, whose sum is σ = 2805012288. Its totient is φ = 220446720.

The previous prime is 805229561. The next prime is 805229569. The reversal of 805229568 is 865922508.

805229568 is a `hidden beast` number, since 80 + 5 + 2 + 2 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805229561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17132521 + ... + 17132567.

Almost surely, 2805229568 is an apocalyptic number.

805229568 is a gapful number since it is divisible by the number (88) 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 805229568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402506144).

805229568 is an abundant number, since it is smaller than the sum of its proper divisors (1999782720).

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

805229568 is a wasteful number, since it uses less digits than its factorization.

805229568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 805229568 is about 28376.5672342516. The cubic root of 805229568 is about 930.3361670593.

The spelling of 805229568 in words is "eight hundred five million, two hundred twenty-nine thousand, five hundred sixty-eight".