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2244302260 = 2251718136469
BaseRepresentation
bin1000010111000101…
…0101010110110100
312210102001100220221
42011301111112310
514044020133020
61010411104124
7106421153164
oct20561252664
95712040827
102244302260
11a51939562
12527742044
13299c73505
141740d05a4
15d206d6aa
hex85c555b4

2244302260 has 48 divisors (see below), whose sum is σ = 5017980240. Its totient is φ = 840222720.

The previous prime is 2244302233. The next prime is 2244302267. The reversal of 2244302260 is 622034422.

It can be written as a sum of positive squares in 8 ways, for example, as 254785444 + 1989516816 = 15962^2 + 44604^2 .

It is a super-2 number, since 2×22443022602 = 10073785268482215200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244302267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43306 + ... + 79774.

It is an arithmetic number, because the mean of its divisors is an integer number (104541255).

Almost surely, 22244302260 is an apocalyptic number.

2244302260 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 2244302260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508990120).

2244302260 is an abundant number, since it is smaller than the sum of its proper divisors (2773677980).

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

2244302260 is a wasteful number, since it uses less digits than its factorization.

2244302260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36676 (or 36674 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2244302260 is about 47374.0673786830. The cubic root of 2244302260 is about 1309.2636655982.

Adding to 2244302260 its reverse (622034422), we get a palindrome (2866336682).

The spelling of 2244302260 in words is "two billion, two hundred forty-four million, three hundred two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 181 340 362 724 905 1810 3077 3620 6154 12308 15385 30770 36469 61540 72938 145876 182345 364690 619973 729380 1239946 2479892 3099865 6199730 6600889 12399460 13201778 26403556 33004445 66008890 112215113 132017780 224430226 448860452 561075565 1122151130 2244302260