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2281608896 = 26717436967
BaseRepresentation
bin1000011111111110…
…1001011011000000
312220000020202000012
42013333221123000
514133042441041
61014222444052
7110353232660
oct20777513300
95800222005
102281608896
11a709aa596
12538133628
132a4906148
141790421a0
15d548c3eb
hex87fe96c0

2281608896 has 112 divisors (see below), whose sum is σ = 5606954496. Its totient is φ = 898781184.

The previous prime is 2281608851. The next prime is 2281608899. The reversal of 2281608896 is 6988061822.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2281608899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324005 + ... + 330971.

Almost surely, 22281608896 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 2281608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803477248).

2281608896 is an abundant number, since it is smaller than the sum of its proper divisors (3325345600).

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

2281608896 is a wasteful number, since it uses less digits than its factorization.

2281608896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 2281608896 is about 47766.1898836405. The cubic root of 2281608896 is about 1316.4783878050.

The spelling of 2281608896 in words is "two billion, two hundred eighty-one million, six hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 56 64 68 86 112 119 136 172 224 238 272 301 344 448 476 544 602 688 731 952 1088 1204 1376 1462 1904 2408 2752 2924 3808 4816 5117 5848 6967 7616 9632 10234 11696 13934 19264 20468 23392 27868 40936 46784 48769 55736 81872 97538 111472 118439 163744 195076 222944 236878 299581 327488 390152 445888 473756 599162 780304 829073 947512 1198324 1560608 1658146 1895024 2097067 2396648 3121216 3316292 3790048 4194134 4793296 5092877 6632584 7580096 8388268 9586592 10185754 13265168 16776536 19173184 20371508 26530336 33553072 35650139 40743016 53060672 67106144 71300278 81486032 134212288 142600556 162972064 285201112 325944128 570402224 1140804448 2281608896