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2281871064 = 23311311032707
BaseRepresentation
bin1000100000000010…
…1001011011011000
312220000202001122010
42020000221123120
514133124333224
61014232225520
7110355404214
oct21000513330
95800661563
102281871064
11a71069560
1253823b2a0
132a4998585
141790ad944
15d54dee29
hex880296d8

2281871064 has 128 divisors (see below), whose sum is σ = 6488801280. Its totient is φ = 662428800.

The previous prime is 2281871051. The next prime is 2281871071. The reversal of 2281871064 is 4601781822.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 841599 + ... + 844305.

It is an arithmetic number, because the mean of its divisors is an integer number (50693760).

Almost surely, 22281871064 is an apocalyptic number.

2281871064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281871064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244400640).

2281871064 is an abundant number, since it is smaller than the sum of its proper divisors (4206930216).

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

2281871064 is a wasteful number, since it uses less digits than its factorization.

2281871064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 2281871064 is about 47768.9340890081. The cubic root of 2281871064 is about 1316.5288091383.

The spelling of 2281871064 in words is "two billion, two hundred eighty-one million, eight hundred seventy-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 103 124 132 186 206 248 264 309 341 372 412 618 682 744 824 1023 1133 1236 1364 2046 2266 2472 2707 2728 3193 3399 4092 4532 5414 6386 6798 8121 8184 9064 9579 10828 12772 13596 16242 19158 21656 25544 27192 29777 32484 35123 38316 59554 64968 70246 76632 83917 89331 105369 119108 140492 167834 178662 210738 238216 251751 278821 280984 335668 357324 421476 503502 557642 671336 714648 836463 842952 923087 1007004 1115284 1672926 1846174 2014008 2230568 2769261 3067031 3345852 3692348 5538522 6134062 6691704 7384696 8643451 9201093 11077044 12268124 17286902 18402186 22154088 24536248 25930353 34573804 36804372 51860706 69147608 73608744 95077961 103721412 190155922 207442824 285233883 380311844 570467766 760623688 1140935532 2281871064