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2282717312 = 274121032
BaseRepresentation
bin1000100000001111…
…1000000010000000
312220002100001110122
42020003320002000
514133333423222
61014302315412
7110365530341
oct21003700200
95802301418
102282717312
11a71597337
12538588b68
132a4c03805
141792500c8
15d560aa42
hex880f8080

2282717312 has 72 divisors (see below), whose sum is σ = 4706917245. Its totient is φ = 1102709760.

The previous prime is 2282717309. The next prime is 2282717321. The reversal of 2282717312 is 2137172822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1630221376 + 652495936 = 40376^2 + 25544^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33784.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22162253 + ... + 22162355.

Almost surely, 22282717312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282717312

2282717312 is an abundant number, since it is smaller than the sum of its proper divisors (2424199933).

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

2282717312 is an frugal number, since it uses more digits than its factorization.

2282717312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 146 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 2282717312 is about 47777.7909912126. The cubic root of 2282717312 is about 1316.6915370260.

The spelling of 2282717312 in words is "two billion, two hundred eighty-two million, seven hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 103 128 164 206 328 412 656 824 1312 1648 1681 2624 3296 3362 4223 5248 6592 6724 8446 10609 13184 13448 16892 21218 26896 33784 42436 53792 67568 84872 107584 135136 169744 173143 215168 270272 339488 346286 434969 540544 678976 692572 869938 1357952 1385144 1739876 2770288 3479752 5540576 6959504 11081152 13919008 17833729 22162304 27838016 35667458 55676032 71334916 142669832 285339664 570679328 1141358656 2282717312