Search a number
-
+
2230323013320 = 2335372631909981
BaseRepresentation
bin100000011101001001100…
…111000110011011001000
321220012212001020012210220
4200131021213012123020
5243020200142411240
64424332442310040
7320064324546513
oct40351147063310
97805761205726
102230323013320
1178a969218776
123003027b8320
1313241ab4327c
1479d3bc5dd7a
153d0385d35d0
hex207499c66c8

2230323013320 has 128 divisors (see below), whose sum is σ = 6897938192640. Its totient is φ = 576477803520.

The previous prime is 2230323013313. The next prime is 2230323013339. The reversal of 2230323013320 is 233103230322.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212730 + ... + 2122710.

It is an arithmetic number, because the mean of its divisors is an integer number (53890142130).

Almost surely, 22230323013320 is an apocalyptic number.

2230323013320 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 2230323013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448969096320).

2230323013320 is an abundant number, since it is smaller than the sum of its proper divisors (4667615179320).

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

2230323013320 is a wasteful number, since it uses less digits than its factorization.

2230323013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910295 (or 1910291 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2230323013320 its reverse (233103230322), we get a palindrome (2463426243642).

The spelling of 2230323013320 in words is "two trillion, two hundred thirty billion, three hundred twenty-three million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 263 296 370 444 526 555 740 789 888 1052 1110 1315 1480 1578 2104 2220 2630 3156 3945 4440 5260 6312 7890 9731 10520 15780 19462 29193 31560 38924 48655 58386 77848 97310 116772 145965 194620 233544 291930 389240 583860 1167720 1909981 3819962 5729943 7639924 9549905 11459886 15279848 19099810 22919772 28649715 38199620 45839544 57299430 70669297 76399240 114598860 141338594 212007891 229197720 282677188 353346485 424015782 502325003 565354376 706692970 848031564 1004650006 1060039455 1413385940 1506975009 1696063128 2009300012 2120078910 2511625015 2826771880 3013950018 4018600024 4240157820 5023250030 6027900036 7534875045 8480315640 10046500060 12055800072 15069750090 18586025111 20093000120 30139500180 37172050222 55758075333 60279000360 74344100444 92930125555 111516150666 148688200888 185860251110 223032301332 278790376665 371720502220 446064602664 557580753330 743441004440 1115161506660 2230323013320