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2282949864 = 233213193141101
BaseRepresentation
bin1000100000010011…
…0000110011101000
312220002202212110200
42020010300303220
514133413343424
61014311312200
7110400516336
oct21004606350
95802685420
102282949864
11a71736028
1253867b660
132a4c85610
141792b0b56
15d56548c9
hex88130ce8

2282949864 has 384 divisors, whose sum is σ = 7485004800. Its totient is φ = 622080000.

The previous prime is 2282949859. The next prime is 2282949869. The reversal of 2282949864 is 4689492822.

It is an interprime number because it is at equal distance from previous prime (2282949859) and next prime (2282949869).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2282949864.

It is not an unprimeable number, because it can be changed into a prime (2282949869) 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 95 ways as a sum of consecutive naturals, for example, 22603414 + ... + 22603514.

It is an arithmetic number, because the mean of its divisors is an integer number (19492200).

Almost surely, 22282949864 is an apocalyptic number.

2282949864 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 2282949864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742502400).

2282949864 is an abundant number, since it is smaller than the sum of its proper divisors (5202054936).

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

2282949864 is a wasteful number, since it uses less digits than its factorization.

2282949864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2282949864 is about 47780.2246122808. The cubic root of 2282949864 is about 1316.7362481912.

The spelling of 2282949864 in words is "two billion, two hundred eighty-two million, nine hundred forty-nine thousand, eight hundred sixty-four".