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2144304220 = 225438213037
BaseRepresentation
bin111111111001111…
…0111110001011100
312112102212221101211
41333303313301130
513342420213340
6552435514204
7104065166542
oct17763676134
95472787354
102144304220
11a00449553
124ba158964
13282330886
14164addd92
15c83b95ea
hex7fcf7c5c

2144304220 has 48 divisors (see below), whose sum is σ = 4614892128. Its totient is φ = 836478720.

The previous prime is 2144304209. The next prime is 2144304233. The reversal of 2144304220 is 224034412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2144304191 and 2144304200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704542 + ... + 707578.

It is an arithmetic number, because the mean of its divisors is an integer number (96143586).

Almost surely, 22144304220 is an apocalyptic number.

2144304220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307446064).

2144304220 is an abundant number, since it is smaller than the sum of its proper divisors (2470587908).

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

2144304220 is a wasteful number, since it uses less digits than its factorization.

2144304220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2144304220 is about 46306.6325702917. The cubic root of 2144304220 is about 1289.5221313547.

Adding to 2144304220 its reverse (224034412), we get a palindrome (2368338632).

The spelling of 2144304220 in words is "two billion, one hundred forty-four million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 821 860 1642 3037 3284 4105 6074 8210 12148 15185 16420 30370 35303 60740 70606 130591 141212 176515 261182 353030 522364 652955 706060 1305910 2493377 2611820 4986754 9973508 12466885 24933770 49867540 107215211 214430422 428860844 536076055 1072152110 2144304220