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563224320 = 2833543379
BaseRepresentation
bin100001100100100…
…001111100000000
31110020210202112000
4201210201330000
52123141134240
6131515504000
716646220261
oct4144417400
91406722460
10563224320
11269a1a84a
12138758000
138c8c0839
1454b32968
15346a6430
hex21921f00

563224320 has 288 divisors, whose sum is σ = 2050540800. Its totient is φ = 146313216.

The previous prime is 563224303. The next prime is 563224351. The reversal of 563224320 is 23422365.

563224320 is a `hidden beast` number, since 5 + 632 + 2 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 1485891 + ... + 1486269.

Almost surely, 2563224320 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 563224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025270400).

563224320 is an abundant number, since it is smaller than the sum of its proper divisors (1487316480).

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

563224320 is a wasteful number, since it uses less digits than its factorization.

563224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 563224320 is about 23732.3475450702. The cubic root of 563224320 is about 825.8359790559.

Adding to 563224320 its reverse (23422365), we get a palindrome (586646685).

The spelling of 563224320 in words is "five hundred sixty-three million, two hundred twenty-four thousand, three hundred twenty".