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2268265972 = 2272967173241
BaseRepresentation
bin1000011100110010…
…1111110111110100
312212002010211221211
42013030233313310
514121134002342
61013024451204
7110131641220
oct20714576764
95762124854
102268265972
11a64416885
12533779b04
132a1c13b1b
1417736b780
15d4203c17
hex8732fdf4

2268265972 has 96 divisors (see below), whose sum is σ = 4810417920. Its totient is φ = 915425280.

The previous prime is 2268265949. The next prime is 2268265991. The reversal of 2268265972 is 2795628622.

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 31 ways as a sum of consecutive naturals, for example, 9411772 + ... + 9412012.

It is an arithmetic number, because the mean of its divisors is an integer number (50108520).

Almost surely, 22268265972 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 2268265972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405208960).

2268265972 is an abundant number, since it is smaller than the sum of its proper divisors (2542151948).

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

2268265972 is a wasteful number, since it uses less digits than its factorization.

2268265972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 2268265972 is about 47626.3159608215. The cubic root of 2268265972 is about 1313.9070992827.

The spelling of 2268265972 in words is "two billion, two hundred sixty-eight million, two hundred sixty-five thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 29 58 67 116 134 173 203 241 268 346 406 469 482 692 812 938 964 1211 1687 1876 1943 2422 3374 3886 4844 5017 6748 6989 7772 10034 11591 13601 13978 16147 20068 23182 27202 27956 32294 35119 41693 46364 48923 54404 64588 70238 81137 83386 97846 113029 140476 162274 166772 195692 226058 291851 324548 336139 452116 468263 583702 672278 936526 1167404 1209097 1344556 1873052 2352973 2418194 2793431 3277841 4705946 4836388 5586862 6555682 8463679 9411892 11173724 13111364 16927358 19554017 33854716 39108034 78216068 81009499 162018998 324037996 567066493 1134132986 2268265972