Search a number
-
+
13220224140 = 2235712109401
BaseRepresentation
bin11000100111111110…
…01001110010001100
31021010100011222012010
430103333021302030
5204033334133030
610023455141220
7645416023344
oct142377116214
937110158163
1013220224140
115674521082
12268b514810
131328bba446
148d5ad3d24
155259536b0
hex313fc9c8c

13220224140 has 144 divisors (see below), whose sum is σ = 37984272480. Its totient is φ = 3435264000.

The previous prime is 13220224081. The next prime is 13220224163. The reversal of 13220224140 is 4142202231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32967940 + ... + 32968340.

It is an arithmetic number, because the mean of its divisors is an integer number (263779670).

Almost surely, 213220224140 is an apocalyptic number.

13220224140 is a gapful number since it is divisible by the number (10) 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 13220224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992136240).

13220224140 is an abundant number, since it is smaller than the sum of its proper divisors (24764048340).

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

13220224140 is a wasteful number, since it uses less digits than its factorization.

13220224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13220224140 its reverse (4142202231), we get a palindrome (17362426371).

The spelling of 13220224140 in words is "thirteen billion, two hundred twenty million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 109 142 213 218 284 327 355 401 426 436 545 654 710 802 852 1065 1090 1203 1308 1420 1604 1635 2005 2130 2180 2406 3270 4010 4260 4812 5041 6015 6540 7739 8020 10082 12030 15123 15478 20164 23217 24060 25205 28471 30246 30956 38695 43709 46434 50410 56942 60492 75615 77390 85413 87418 92868 100820 113884 116085 131127 142355 151230 154780 170826 174836 218545 232170 262254 284710 302460 341652 427065 437090 464340 524508 549469 569420 655635 854130 874180 1098938 1311270 1648407 1708260 2021441 2197876 2622540 2747345 3103339 3296814 4042882 5494690 6064323 6206678 6593628 8085764 8242035 9310017 10107205 10989380 12128646 12413356 15516695 16484070 18620034 20214410 24257292 30321615 31033390 32968140 37240068 40428820 46550085 60643230 62066780 93100170 121286460 186200340 220337069 440674138 661011207 881348276 1101685345 1322022414 2203370690 2644044828 3305056035 4406741380 6610112070 13220224140