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2284648704 = 28321383919
BaseRepresentation
bin1000100000101100…
…1111100100000000
312220012222011211200
42020023033210000
514134332224304
61014411541200
7110421123252
oct21013174400
95805864750
102284648704
11a72696428
1253915a800
132a542b950
141795d3cd2
15d588ce39
hex882cf900

2284648704 has 216 divisors, whose sum is σ = 7187194560. Its totient is φ = 693743616.

The previous prime is 2284648703. The next prime is 2284648727. The reversal of 2284648704 is 4078464822.

It is a self number, because there is not a number n which added to its sum of digits gives 2284648704.

It is not an unprimeable number, because it can be changed into a prime (2284648703) 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 23 ways as a sum of consecutive naturals, for example, 2485557 + ... + 2486475.

Almost surely, 22284648704 is an apocalyptic number.

2284648704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2284648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593597280).

2284648704 is an abundant number, since it is smaller than the sum of its proper divisors (4902545856).

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

2284648704 is a wasteful number, since it uses less digits than its factorization.

2284648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2284648704 is about 47797.9989539311. The cubic root of 2284648704 is about 1317.0627803400.

The spelling of 2284648704 in words is "two billion, two hundred eighty-four million, six hundred forty-eight thousand, seven hundred four".