Search a number
-
+
12222143304 = 2337288711717
BaseRepresentation
bin10110110000111111…
…10001101101001000
31011112210010012200020
423120133301231020
5200012332041204
65340442540440
7611606334600
oct133037615510
934483105606
1012222143304
115202099188
122451207720
1311ca1a2977
1483d325c00
154b8000bd9
hex2d87f1b48

12222143304 has 96 divisors (see below), whose sum is σ = 35587097280. Its totient is φ = 3487806336.

The previous prime is 12222143303. The next prime is 12222143309. The reversal of 12222143304 is 40334122221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12222143303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1037254 + ... + 1048970.

It is an arithmetic number, because the mean of its divisors is an integer number (370698930).

Almost surely, 212222143304 is an apocalyptic number.

12222143304 is a gapful number since it is divisible by the number (14) 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 12222143304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17793548640).

12222143304 is an abundant number, since it is smaller than the sum of its proper divisors (23364953976).

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

12222143304 is a wasteful number, since it uses less digits than its factorization.

12222143304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12627 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12222143304 its reverse (40334122221), we get a palindrome (52556265525).

The spelling of 12222143304 in words is "twelve billion, two hundred twenty-two million, one hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 887 1176 1774 2661 3548 5322 6209 7096 10644 11717 12418 18627 21288 23434 24836 35151 37254 43463 46868 49672 70302 74508 82019 86926 93736 130389 140604 149016 164038 173852 246057 260778 281208 328076 347704 492114 521556 574133 656152 984228 1043112 1148266 1722399 1968456 2296532 3444798 4593064 6889596 10392979 13779192 20785958 31178937 41571916 62357874 72750853 83143832 124715748 145501706 218252559 249431496 291003412 436505118 509255971 582006824 873010236 1018511942 1527767913 1746020472 2037023884 3055535826 4074047768 6111071652 12222143304