Search a number
-
+
2255110312 = 237132239997
BaseRepresentation
bin1000011001101010…
…0100000010101000
312211011101110210011
42012122210002220
514104302012222
61011434501304
7106612056430
oct20632440250
95734343704
102255110312
11a57a50834
1252b294834
1329c288b00
141757052c0
15d2ea5c77
hex866a40a8

2255110312 has 96 divisors (see below), whose sum is σ = 5259859200. Its totient is φ = 887507712.

The previous prime is 2255110301. The next prime is 2255110343. The reversal of 2255110312 is 2130115522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2261398 + ... + 2262394.

It is an arithmetic number, because the mean of its divisors is an integer number (54790200).

Almost surely, 22255110312 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 2255110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629929600).

2255110312 is an abundant number, since it is smaller than the sum of its proper divisors (3004748888).

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

2255110312 is a wasteful number, since it uses less digits than its factorization.

2255110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 2255110312 is about 47488.0017688679. The cubic root of 2255110312 is about 1311.3620066971.

Adding to 2255110312 its reverse (2130115522), we get a palindrome (4385225834).

The spelling of 2255110312 in words is "two billion, two hundred fifty-five million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 239 338 364 478 676 728 956 997 1183 1352 1673 1912 1994 2366 3107 3346 3988 4732 6214 6692 6979 7976 9464 12428 12961 13384 13958 21749 24856 25922 27916 40391 43498 51844 55832 80782 86996 90727 103688 161564 168493 173992 181454 238283 282737 323128 336986 362908 476566 565474 673972 725816 953132 1130948 1179451 1347944 1667981 1906264 2261896 2358902 3097679 3335962 4717804 6195358 6671924 9435608 12390716 13343848 21683753 24781432 40269827 43367506 80539654 86735012 161079308 173470024 281888789 322158616 563777578 1127555156 2255110312