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8272227041 = 132247319793
BaseRepresentation
bin1111011010001000…
…00010101011100001
3210100111122200012022
413231010002223201
5113420142231131
63444502311225
7411664525001
oct75504025341
923314580168
108272227041
113565502681
12172a428515
13a1aa68800
145868cc001
1533637037b
hex1ed102ae1

8272227041 has 12 divisors (see below), whose sum is σ = 8961575148. Its totient is φ = 7632428544.

The previous prime is 8272226987. The next prime is 8272227079. The reversal of 8272227041 is 1407222728.

8272227041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 81072016 + 8191155025 = 9004^2 + 90505^2 .

It is not a de Polignac number, because 8272227041 - 226 = 8205118177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8272226992 and 8272227010.

It is not an unprimeable number, because it can be changed into a prime (8272227241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408041 + ... + 427833.

It is an arithmetic number, because the mean of its divisors is an integer number (746797929).

Almost surely, 28272227041 is an apocalyptic number.

It is an amenable number.

8272227041 is a deficient number, since it is larger than the sum of its proper divisors (689348107).

8272227041 is a wasteful number, since it uses less digits than its factorization.

8272227041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22292 (or 22279 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 8272227041 is about 90951.7841551225. The cubic root of 8272227041 is about 2022.4330256623.

Adding to 8272227041 its reverse (1407222728), we get a palindrome (9679449769).

The spelling of 8272227041 in words is "eight billion, two hundred seventy-two million, two hundred twenty-seven thousand, forty-one".

Divisors: 1 13 169 2473 19793 32149 257309 417937 3345017 48948089 636325157 8272227041