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2223104130 = 234513613461
BaseRepresentation
bin1000010010000001…
…1110000010000010
312201221011101120000
42010200132002002
514023103313010
61004332500430
7106043034102
oct20440360202
95657141500
102223104130
11a40980045
1252061a716
13295760940
14171373202
15d02827c0
hex8481e082

2223104130 has 160 divisors (see below), whose sum is σ = 6544924848. Its totient is φ = 538099200.

The previous prime is 2223104119. The next prime is 2223104131. The reversal of 2223104130 is 314013222.

2223104130 is a `hidden beast` number, since 22 + 231 + 0 + 413 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6671889 + 2216432241 = 2583^2 + 47079^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2223104131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 640600 + ... + 644060.

Almost surely, 22223104130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223104130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272462424).

2223104130 is an abundant number, since it is smaller than the sum of its proper divisors (4321820718).

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

2223104130 is a wasteful number, since it uses less digits than its factorization.

2223104130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2223104130 is about 47149.8051957800. The cubic root of 2223104130 is about 1305.1284851695.

Adding to 2223104130 its reverse (314013222), we get a palindrome (2537117352).

The spelling of 2223104130 in words is "two billion, two hundred twenty-three million, one hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 61 65 78 81 90 117 122 130 135 162 183 195 234 270 305 351 366 390 405 549 585 610 702 793 810 915 1053 1098 1170 1586 1647 1755 1830 2106 2379 2745 3294 3461 3510 3965 4758 4941 5265 5490 6922 7137 7930 8235 9882 10383 10530 11895 14274 16470 17305 20766 21411 23790 24705 31149 34610 35685 42822 44993 49410 51915 62298 64233 71370 89986 93447 103830 107055 128466 134979 155745 186894 211121 214110 224965 269958 280341 311490 321165 404937 422242 449930 467235 560682 633363 642330 674895 809874 934470 1055605 1214811 1266726 1349790 1401705 1900089 2024685 2111210 2429622 2744573 2803410 3166815 3644433 3800178 4049370 5489146 5700267 6074055 6333630 7288866 8233719 9500445 11400534 12148110 13722865 16467438 17100801 18222165 19000890 24701157 27445730 28501335 34201602 36444330 41168595 49402314 57002670 74103471 82337190 85504005 123505785 148206942 171008010 222310413 247011570 370517355 444620826 741034710 1111552065 2223104130