Search a number
-
+
1228810338 = 23472283547
BaseRepresentation
bin100100100111110…
…0010100001100010
310011122020000220000
41021033202201202
510004033412323
6321533400430
742310500300
oct11117424142
93148200800
101228810338
115806a4438
122a3639116
13167770b12
14b92ad270
1572d2be43
hex493e2862

1228810338 has 120 divisors (see below), whose sum is σ = 3220181712. Its totient is φ = 349208496.

The previous prime is 1228810309. The next prime is 1228810379. The reversal of 1228810338 is 8330188221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2246181 + ... + 2246727.

Almost surely, 21228810338 is an apocalyptic number.

1228810338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228810338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610090856).

1228810338 is an abundant number, since it is smaller than the sum of its proper divisors (1991371374).

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

1228810338 is a wasteful number, since it uses less digits than its factorization.

1228810338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1228810338 is about 35054.3911372028. The cubic root of 1228810338 is about 1071.0957238547.

Adding to 1228810338 its reverse (8330188221), we get a palindrome (9558998559).

The spelling of 1228810338 in words is "one billion, two hundred twenty-eight million, eight hundred ten thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 283 294 378 441 547 566 567 849 882 1094 1134 1323 1641 1698 1981 2547 2646 3282 3829 3962 3969 4923 5094 5943 7641 7658 7938 9846 11487 11886 13867 14769 15282 17829 22923 22974 26803 27734 29538 34461 35658 41601 44307 45846 53487 53606 68922 80409 83202 88614 103383 106974 124803 154801 160461 160818 206766 241227 249606 309602 310149 320922 374409 464403 482454 620298 723681 748818 928806 1083607 1123227 1393209 1447362 2167214 2171043 2246454 2786418 3250821 4179627 4342086 6501642 7585249 8359254 9752463 12538881 15170498 19504926 22755747 25077762 29257389 45511494 58514778 68267241 87772167 136534482 175544334 204801723 409603446 614405169 1228810338