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2286872112 = 243727724571
BaseRepresentation
bin1000100001001110…
…1110011000110000
312220101011010210010
42020103232120300
514140414401422
61014531334520
7110446043430
oct21023563060
95811133703
102286872112
11a73974958
12539a51440
132a5a29985
14179a122c0
15d5b7bb0c
hex884ee630

2286872112 has 80 divisors (see below), whose sum is σ = 6776367872. Its totient is φ = 651006720.

The previous prime is 2286872099. The next prime is 2286872131. The reversal of 2286872112 is 2112786822.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80787 + ... + 105357.

Almost surely, 22286872112 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 2286872112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388183936).

2286872112 is an abundant number, since it is smaller than the sum of its proper divisors (4489495760).

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

2286872112 is a wasteful number, since it uses less digits than its factorization.

2286872112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24866 (or 24860 counting only the distinct ones).

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

The square root of 2286872112 is about 47821.2516774708. The cubic root of 2286872112 is about 1317.4898946520.

The spelling of 2286872112 in words is "two billion, two hundred eighty-six million, eight hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 336 554 831 1108 1662 1939 2216 3324 3878 4432 5817 6648 7756 11634 13296 15512 23268 24571 31024 46536 49142 73713 93072 98284 147426 171997 196568 294852 343994 393136 515991 589704 687988 1031982 1179408 1375976 2063964 2751952 4127928 6806167 8255856 13612334 20418501 27224668 40837002 47643169 54449336 81674004 95286338 108898672 142929507 163348008 190572676 285859014 326696016 381145352 571718028 762290704 1143436056 2286872112