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2282289768 = 2332114915869
BaseRepresentation
bin1000100000001000…
…1111101001101000
312220001112022222200
42020002033221220
514133231233033
61014245220200
7110362100013
oct21002175150
95801468880
102282289768
11a713250a0
12538401660
132a4ab4025
1417917c37a
15d5574013
hex8808fa68

2282289768 has 96 divisors (see below), whose sum is σ = 6758013600. Its totient is φ = 690076800.

The previous prime is 2282289749. The next prime is 2282289791. The reversal of 2282289768 is 8679822822.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385938 + ... + 391806.

It is an arithmetic number, because the mean of its divisors is an integer number (70395975).

Almost surely, 22282289768 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 2282289768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379006800).

2282289768 is an abundant number, since it is smaller than the sum of its proper divisors (4475723832).

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

2282289768 is a wasteful number, since it uses less digits than its factorization.

2282289768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6383 (or 6376 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 2282289768 is about 47773.3164852515. The cubic root of 2282289768 is about 1316.6093281730.

The spelling of 2282289768 in words is "two billion, two hundred eighty-two million, two hundred eighty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 491 792 982 1473 1964 2946 3928 4419 5401 5869 5892 8838 10802 11738 11784 16203 17607 17676 21604 23476 32406 35214 35352 43208 46952 48609 52821 64559 64812 70428 97218 105642 129118 129624 140856 193677 194436 211284 258236 387354 388872 422568 516472 581031 774708 1162062 1549416 2324124 2881679 4648248 5763358 8645037 11526716 17290074 23053432 25935111 31698469 34580148 51870222 63396938 69160296 95095407 103740444 126793876 190190814 207480888 253587752 285286221 380381628 570572442 760763256 1141144884 2282289768