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2283361680 = 243510392369
BaseRepresentation
bin1000100000011001…
…0101010110010000
312220010112210101010
42020012111112100
514134020033210
61014324210520
7110404153065
oct21006252620
95803483333
102283361680
11a71997476
12538839a40
132a509abb2
1417937ac6c
15d56d6920
hex88195590

2283361680 has 80 divisors (see below), whose sum is σ = 7147221120. Its totient is φ = 602978304.

The previous prime is 2283361657. The next prime is 2283361693. The reversal of 2283361680 is 861633822.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21465 + ... + 70904.

It is an arithmetic number, because the mean of its divisors is an integer number (89340264).

Almost surely, 22283361680 is an apocalyptic number.

2283361680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2283361680 is an abundant number, since it is smaller than the sum of its proper divisors (4863859440).

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

2283361680 is a wasteful number, since it uses less digits than its factorization.

2283361680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92488 (or 92482 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2283361680 is about 47784.5338995788. The cubic root of 2283361680 is about 1316.8154177577.

The spelling of 2283361680 in words is "two billion, two hundred eighty-three million, three hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 92369 184738 277107 369476 461845 554214 738952 923690 1108428 1385535 1477904 1847380 2216856 2771070 3694760 4433712 5542140 7389520 9514007 11084280 19028014 22168560 28542021 38056028 47570035 57084042 76112056 95140070 114168084 142710105 152224112 190280140 228336168 285420210 380560280 456672336 570840420 761120560 1141680840 2283361680