Search a number
-
+
2105885012 = 227119377297
BaseRepresentation
bin111110110000101…
…0100000101010100
312102202121001011012
41331201110011110
513303101310022
6544544231352
7103120504310
oct17541240524
95382531135
102105885012
11990798640
124a930b558
1327739b70a
1415d97cb40
15c4d2ade2
hex7d854154

2105885012 has 48 divisors (see below), whose sum is σ = 4600192128. Its totient is φ = 819486720.

The previous prime is 2105885003. The next prime is 2105885017.

It is a happy number.

2105885012 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2105885012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105885017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284948 + ... + 292244.

It is an arithmetic number, because the mean of its divisors is an integer number (95837336).

Almost surely, 22105885012 is an apocalyptic number.

2105885012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2105885012 is an abundant number, since it is smaller than the sum of its proper divisors (2494307116).

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

2105885012 is a wasteful number, since it uses less digits than its factorization.

2105885012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 2105885012 is about 45889.9227717807. The cubic root of 2105885012 is about 1281.7742752872.

The spelling of 2105885012 in words is "two billion, one hundred five million, eight hundred eighty-five thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 937 1874 3748 6559 7297 10307 13118 14594 20614 26236 29188 41228 51079 72149 80267 102158 144298 160534 204316 288596 321068 561869 1123738 2247476 6837289 13674578 27349156 47861023 75210179 95722046 150420358 191444092 300840716 526471253 1052942506 2105885012