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2281681560 = 233571267803
BaseRepresentation
bin1000011111111111…
…1011001010011000
312220000101102200110
42013333323022120
514133102302220
61014224204320
7110353654554
oct20777731230
95800342613
102281681560
11a70a4a144
125381696a0
132a4930242
14179060864
15d54a3be0
hex87ffb298

2281681560 has 64 divisors (see below), whose sum is σ = 6941479680. Its totient is φ = 599876480.

The previous prime is 2281681547. The next prime is 2281681601. The reversal of 2281681560 is 651861822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125382 + ... + 142421.

It is an arithmetic number, because the mean of its divisors is an integer number (108460620).

Almost surely, 22281681560 is an apocalyptic number.

2281681560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2281681560 is an abundant number, since it is smaller than the sum of its proper divisors (4659798120).

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

2281681560 is a wasteful number, since it uses less digits than its factorization.

2281681560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267888 (or 267884 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2281681560 is about 47766.9504992730. The cubic root of 2281681560 is about 1316.4923632604.

The spelling of 2281681560 in words is "two billion, two hundred eighty-one million, six hundred eighty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 267803 535606 803409 1071212 1339015 1606818 2142424 2678030 3213636 4017045 5356060 6427272 8034090 10712120 16068180 19014013 32136360 38028026 57042039 76056052 95070065 114084078 152112104 190140130 228168156 285210195 380280260 456336312 570420390 760560520 1140840780 2281681560