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2226520566 = 23217234753127
BaseRepresentation
bin1000010010110110…
…0000000111110110
312202011120222000200
42010231200013312
514024442124231
61004534021330
7106114053414
oct20455400766
95664528020
102226520566
11a428a3946
125217a7846
132963889ba
141719c22b4
15d0709be6
hex84b601f6

2226520566 has 192 divisors, whose sum is σ = 5589762048. Its totient is φ = 636539904.

The previous prime is 2226520561. The next prime is 2226520573. The reversal of 2226520566 is 6650256222.

2226520566 is a `hidden beast` number, since 22 + 26 + 52 + 0 + 566 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2226520566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226520561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17531595 + ... + 17531721.

It is an arithmetic number, because the mean of its divisors is an integer number (29113344).

Almost surely, 22226520566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226520566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794881024).

2226520566 is an abundant number, since it is smaller than the sum of its proper divisors (3363241482).

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

2226520566 is a wasteful number, since it uses less digits than its factorization.

2226520566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2226520566 is about 47186.0208748311. The cubic root of 2226520566 is about 1305.7967108440.

Adding to 2226520566 its reverse (6650256222), we get a palindrome (8876776788).

The spelling of 2226520566 in words is "two billion, two hundred twenty-six million, five hundred twenty thousand, five hundred sixty-six".