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2241112520 = 23577372481
BaseRepresentation
bin1000010110010100…
…1010100111001000
312210012001022102102
42011211022213020
514042211100040
61010214452532
7106352066513
oct20545124710
95705038372
102241112520
11a50060009
12526664148
132993c76aa
141738ddd7a
15d1b3d515
hex8594a9c8

2241112520 has 32 divisors (see below), whose sum is σ = 5049096120. Its totient is φ = 895272960.

The previous prime is 2241112519. The next prime is 2241112553. The reversal of 2241112520 is 252111422.

It can be written as a sum of positive squares in 4 ways, for example, as 1092038116 + 1149074404 = 33046^2 + 33898^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2241112492 and 2241112501.

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 7 ways as a sum of consecutive naturals, for example, 5321 + ... + 67160.

Almost surely, 22241112520 is an apocalyptic number.

2241112520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241112520 is an abundant number, since it is smaller than the sum of its proper divisors (2807983600).

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

2241112520 is a wasteful number, since it uses less digits than its factorization.

2241112520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73265 (or 73261 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2241112520 is about 47340.3899434722. The cubic root of 2241112520 is about 1308.6431029080.

Adding to 2241112520 its reverse (252111422), we get a palindrome (2493223942).

The spelling of 2241112520 in words is "two billion, two hundred forty-one million, one hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 773 1546 3092 3865 6184 7730 15460 30920 72481 144962 289924 362405 579848 724810 1449620 2899240 56027813 112055626 224111252 280139065 448222504 560278130 1120556260 2241112520