Search a number
-
+
2110022210220 = 223583580173039
BaseRepresentation
bin11110101101000111000…
…111111101001010101100
321110201100002001020000220
4132231013013331022230
5234032311141211340
64253155242451340
7305305213601241
oct36550707751254
97421302036026
102110022210220
11743945590851
122a0b2a203b50
13123c88539702
14741a89b55c8
1539d47010ed0
hex1eb471fd2ac

2110022210220 has 96 divisors (see below), whose sum is σ = 5980356264960. Its totient is φ = 555789964800.

The previous prime is 2110022210189. The next prime is 2110022210221. The reversal of 2110022210220 is 220122200112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2110022210220.

It is not an unprimeable number, because it can be changed into a prime (2110022210221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28852461 + ... + 28925499.

It is an arithmetic number, because the mean of its divisors is an integer number (62295377760).

Almost surely, 22110022210220 is an apocalyptic number.

2110022210220 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 2110022210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990178132480).

2110022210220 is an abundant number, since it is smaller than the sum of its proper divisors (3870334054740).

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

2110022210220 is a wasteful number, since it uses less digits than its factorization.

2110022210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78935 (or 78933 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2110022210220 its reverse (220122200112), we get a palindrome (2330144410332).

The spelling of 2110022210220 in words is "two trillion, one hundred ten billion, twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 5801 11602 17403 23204 29005 34806 58010 69612 73039 87015 116020 146078 174030 219117 292156 348060 365195 438234 481483 730390 876468 962966 1095585 1444449 1460780 1925932 2191170 2407415 2888898 4382340 4814830 5777796 6062237 7222245 9629660 12124474 14444490 18186711 24248948 28888980 30311185 36373422 60622370 72746844 90933555 121244740 181867110 363734220 423699239 847398478 1271097717 1694796956 2118496195 2542195434 4236992390 5084390868 6355488585 8473984780 12710977170 25421954340 35167036837 70334073674 105501110511 140668147348 175835184185 211002221022 351670368370 422004442044 527505552555 703340736740 1055011105110 2110022210220