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2244161140 = 2251321574229
BaseRepresentation
bin1000010111000011…
…0010111001110100
312210101210012100021
42011300302321310
514044001124030
61010404054524
7106420024564
oct20560627164
95711705307
102244161140
11a51852531
12527694444
13299c24200
14174094da4
15d204197a
hex85c32e74

2244161140 has 72 divisors (see below), whose sum is σ = 5136861240. Its totient is φ = 823140864.

The previous prime is 2244161119. The next prime is 2244161167. The reversal of 2244161140 is 411614422.

It can be written as a sum of positive squares in 12 ways, for example, as 713317264 + 1530843876 = 26708^2 + 39126^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528546 + ... + 532774.

It is an arithmetic number, because the mean of its divisors is an integer number (71345295).

Almost surely, 22244161140 is an apocalyptic number.

2244161140 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 2244161140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568430620).

2244161140 is an abundant number, since it is smaller than the sum of its proper divisors (2892700100).

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

2244161140 is a wasteful number, since it uses less digits than its factorization.

2244161140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2244161140 is about 47372.5779328083. The cubic root of 2244161140 is about 1309.2362231922.

Adding to 2244161140 its reverse (411614422), we get a palindrome (2655775562).

The spelling of 2244161140 in words is "two billion, two hundred forty-four million, one hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 169 260 314 338 628 676 785 845 1570 1690 2041 3140 3380 4082 4229 8164 8458 10205 16916 20410 21145 26533 40820 42290 53066 54977 84580 106132 109954 132665 219908 265330 274885 530660 549770 663953 714701 1099540 1327906 1429402 2655812 2858804 3319765 3573505 6639530 7147010 8631389 13279060 14294020 17262778 34525556 43156945 86313890 112208057 172627780 224416114 448832228 561040285 1122080570 2244161140