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2282248448 = 2861714449
BaseRepresentation
bin1000100000001000…
…0101100100000000
312220001110020022022
42020002011210000
514133223422243
61014244301012
7110361535364
oct21002054400
95801406268
102282248448
11a712a7047
125383a1768
132a4a9b28c
1417916b2a4
15d5566b68
hex88085900

2282248448 has 36 divisors (see below), whose sum is σ = 4563281100. Its totient is φ = 1139195904.

The previous prime is 2282248433. The next prime is 2282248469. The reversal of 2282248448 is 8448422822.

It can be written as a sum of positive squares in 2 ways, for example, as 1203257344 + 1078991104 = 34688^2 + 32848^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2282248399 and 2282248408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150728 + ... + 165176.

Almost surely, 22282248448 is an apocalyptic number.

It is an amenable number.

2282248448 is a deficient number, since it is larger than the sum of its proper divisors (2281032652).

2282248448 is an equidigital number, since it uses as much as digits as its factorization.

2282248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15082 (or 15068 counting only the distinct ones).

The product of its digits is 524288, while the sum is 44.

The square root of 2282248448 is about 47772.8840243082. The cubic root of 2282248448 is about 1316.6013825524.

The spelling of 2282248448 in words is "two billion, two hundred eighty-two million, two hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 617 1234 2468 4936 9872 14449 19744 28898 39488 57796 78976 115592 157952 231184 462368 924736 1849472 3698944 8915033 17830066 35660132 71320264 142640528 285281056 570562112 1141124224 2282248448