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2281182048 = 253326310039
BaseRepresentation
bin1000011111111000…
…0001001101100000
312212222110001111000
42013332001031200
514132440311143
61014205352000
7110346504345
oct20776011540
95788401430
102281182048
11a70738922
12537b68600
132a47b6a82
14178d707cc
15d5405bd3
hex87f81360

2281182048 has 96 divisors (see below), whose sum is σ = 6679411200. Its totient is φ = 757427328.

The previous prime is 2281182023. The next prime is 2281182049. The reversal of 2281182048 is 8402811822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22811820482 = 10407583072234948608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281182049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222213 + ... + 232251.

It is an arithmetic number, because the mean of its divisors is an integer number (69577200).

Almost surely, 22281182048 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 2281182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339705600).

2281182048 is an abundant number, since it is smaller than the sum of its proper divisors (4398229152).

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

2281182048 is a wasteful number, since it uses less digits than its factorization.

2281182048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2281182048 is about 47761.7215770119. The cubic root of 2281182048 is about 1316.3962862064.

The spelling of 2281182048 in words is "two billion, two hundred eighty-one million, one hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 263 288 432 526 789 864 1052 1578 2104 2367 3156 4208 4734 6312 7101 8416 9468 10039 12624 14202 18936 20078 25248 28404 30117 37872 40156 56808 60234 75744 80312 90351 113616 120468 160624 180702 227232 240936 271053 321248 361404 481872 542106 722808 963744 1084212 1445616 2168424 2640257 2891232 4336848 5280514 7920771 8673696 10561028 15841542 21122056 23762313 31683084 42244112 47524626 63366168 71286939 84488224 95049252 126732336 142573878 190098504 253464672 285147756 380197008 570295512 760394016 1140591024 2281182048