Search a number
-
+
2185109168 = 2411291273371
BaseRepresentation
bin1000001000111110…
…0001111010110000
312122021200001021012
42002033201322300
513433341443133
61000454250052
7105102056444
oct20217417260
95567601235
102185109168
11a21489950
1250b956928
1328a919908
1416a2c2824
15cbc79b48
hex823e1eb0

2185109168 has 80 divisors (see below), whose sum is σ = 4816834560. Its totient is φ = 951148800.

The previous prime is 2185109141. The next prime is 2185109209. The reversal of 2185109168 is 8619015812.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646523 + ... + 649893.

It is an arithmetic number, because the mean of its divisors is an integer number (60210432).

Almost surely, 22185109168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185109168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408417280).

2185109168 is an abundant number, since it is smaller than the sum of its proper divisors (2631725392).

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

2185109168 is a wasteful number, since it uses less digits than its factorization.

2185109168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 41.

The square root of 2185109168 is about 46745.1512779668. The cubic root of 2185109168 is about 1297.6504242597.

The spelling of 2185109168 in words is "two billion, one hundred eighty-five million, one hundred nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 127 176 232 254 319 464 508 638 1016 1276 1397 2032 2552 2794 3371 3683 5104 5588 6742 7366 11176 13484 14732 22352 26968 29464 37081 40513 53936 58928 74162 81026 97759 148324 162052 195518 296648 324104 391036 428117 593296 648208 782072 856234 1075349 1564144 1712468 2150698 3424936 4301396 4709287 6849872 8602792 9418574 12415393 17205584 18837148 24830786 37674296 49661572 75348592 99323144 136569323 198646288 273138646 546277292 1092554584 2185109168