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8223074560 = 2856424277
BaseRepresentation
bin1111010100010001…
…00010100100000000
3210020002011110200001
413222020202210000
5113320101341220
63435545005344
7410526660211
oct75210424400
923202143601
108223074560
11353a790698
121715a83854
13a108190bc
14580175408
15331db180a
hex1ea222900

8223074560 has 36 divisors (see below), whose sum is σ = 19696836348. Its totient is φ = 3289229312.

The previous prime is 8223074557. The next prime is 8223074569. The reversal of 8223074560 is 654703228.

It can be written as a sum of positive squares in 2 ways, for example, as 4949403904 + 3273670656 = 70352^2 + 57216^2 .

It is not an unprimeable number, because it can be changed into a prime (8223074569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3210859 + ... + 3213418.

It is an arithmetic number, because the mean of its divisors is an integer number (547134343).

Almost surely, 28223074560 is an apocalyptic number.

8223074560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8223074560 is an abundant number, since it is smaller than the sum of its proper divisors (11473761788).

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

8223074560 is an equidigital number, since it uses as much as digits as its factorization.

8223074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424298 (or 6424284 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 8223074560 is about 90681.1698204208. The cubic root of 8223074560 is about 2018.4193889538.

Adding to 8223074560 its reverse (654703228), we get a palindrome (8877777788).

The spelling of 8223074560 in words is "eight billion, two hundred twenty-three million, seventy-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 6424277 12848554 25697108 32121385 51394216 64242770 102788432 128485540 205576864 256971080 411153728 513942160 822307456 1027884320 1644614912 2055768640 4111537280 8223074560