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2240112240 = 243351037089
BaseRepresentation
bin1000010110000101…
…0110011001110000
312210010011111022000
42011201112121300
514041432042430
61010141214000
7106340432322
oct20541263160
95703144260
102240112240
11a4a537533
12526261300
13299137302
1417371d612
15d19e1e60
hex85856670

2240112240 has 80 divisors (see below), whose sum is σ = 7715949600. Its totient is φ = 597362688.

The previous prime is 2240112197. The next prime is 2240112241. The reversal of 2240112240 is 422110422.

2240112240 is a `hidden beast` number, since 22 + 401 + 1 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240112241) by changing a digit.

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, 516385 + ... + 520704.

It is an arithmetic number, because the mean of its divisors is an integer number (96449370).

Almost surely, 22240112240 is an apocalyptic number.

2240112240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240112240 is an abundant number, since it is smaller than the sum of its proper divisors (5475837360).

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

2240112240 is a wasteful number, since it uses less digits than its factorization.

2240112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037111 (or 1037099 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240112240 is about 47329.8240013630. The cubic root of 2240112240 is about 1308.4483775487.

Adding to 2240112240 its reverse (422110422), we get a palindrome (2662222662).

The spelling of 2240112240 in words is "two billion, two hundred forty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1037089 2074178 3111267 4148356 5185445 6222534 8296712 9333801 10370890 12445068 15556335 16593424 18667602 20741780 24890136 28001403 31112670 37335204 41483560 46669005 49780272 56002806 62225340 74670408 82967120 93338010 112005612 124450680 140007015 149340816 186676020 224011224 248901360 280014030 373352040 448022448 560028060 746704080 1120056120 2240112240