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2282341680 = 243253169919
BaseRepresentation
bin1000100000001001…
…1100010100110000
312220001121222012100
42020002130110300
514133234413210
61014250300400
7110362404243
oct21002342460
95801558170
102282341680
11a713600a3
12538427700
132a4b01848
1417919325a
15d55845c0
hex8809c530

2282341680 has 60 divisors (see below), whose sum is σ = 7664866560. Its totient is φ = 608624256.

The previous prime is 2282341661. The next prime is 2282341687. The reversal of 2282341680 is 861432822.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (2282341687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1584240 + ... + 1585679.

It is an arithmetic number, because the mean of its divisors is an integer number (127747776).

Almost surely, 22282341680 is an apocalyptic number.

2282341680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282341680 is an abundant number, since it is smaller than the sum of its proper divisors (5382524880).

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

2282341680 is a wasteful number, since it uses less digits than its factorization.

2282341680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169938 (or 3169929 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2282341680 is about 47773.8597980109. The cubic root of 2282341680 is about 1316.6193104440.

The spelling of 2282341680 in words is "two billion, two hundred eighty-two million, three hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3169919 6339838 9509757 12679676 15849595 19019514 25359352 28529271 31699190 38039028 47548785 50718704 57058542 63398380 76078056 95097570 114117084 126796760 142646355 152156112 190195140 228234168 253593520 285292710 380390280 456468336 570585420 760780560 1141170840 2282341680