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563230800 = 243352112431
BaseRepresentation
bin100001100100100…
…011100001010000
31110020211002102000
4201210203201100
52123141341200
6131515554000
716646245206
oct4144434120
91406732360
10563230800
11269a24700
1213875b900
138c8c3782
1454b35076
15346a8300
hex21923850

563230800 has 360 divisors, whose sum is σ = 2208608640. Its totient is φ = 136224000.

The previous prime is 563230799. The next prime is 563230819. The reversal of 563230800 is 8032365.

563230800 is a `hidden beast` number, since 563 + 23 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1306585 + ... + 1307015.

It is an arithmetic number, because the mean of its divisors is an integer number (6135024).

Almost surely, 2563230800 is an apocalyptic number.

563230800 is a gapful number since it is divisible by the number (50) 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 563230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104304320).

563230800 is an abundant number, since it is smaller than the sum of its proper divisors (1645377840).

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

563230800 is a wasteful number, since it uses less digits than its factorization.

563230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 563230800 is about 23732.4840672021. The cubic root of 563230800 is about 825.8391461757.

The spelling of 563230800 in words is "five hundred sixty-three million, two hundred thirty thousand, eight hundred".