Search a number
-
+
2882312312 = 23111913712583
BaseRepresentation
bin1010101111001100…
…1001100001111000
321102212120122011212
42223303021201320
521400332443222
61154001542252
7131266151615
oct25363114170
97385518155
102882312312
111249a989a0
12685344988
1336c1b9c59
141d4b2d50c
1511d0986e2
hexabcc9878

2882312312 has 64 divisors (see below), whose sum is σ = 6251731200. Its totient is φ = 1232029440.

The previous prime is 2882312273. The next prime is 2882312339. The reversal of 2882312312 is 2132132882.

2882312312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 222773 + ... + 235355.

It is an arithmetic number, because the mean of its divisors is an integer number (97683300).

Almost surely, 22882312312 is an apocalyptic number.

2882312312 is a gapful number since it is divisible by the number (22) 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 2882312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125865600).

2882312312 is an abundant number, since it is smaller than the sum of its proper divisors (3369418888).

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

2882312312 is a wasteful number, since it uses less digits than its factorization.

2882312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756 (or 12752 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 2882312312 is about 53687.1708325183. The cubic root of 2882312312 is about 1423.1379906340.

The spelling of 2882312312 in words is "two billion, eight hundred eighty-two million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 137 152 209 274 418 548 836 1096 1507 1672 2603 3014 5206 6028 10412 12056 12583 20824 25166 28633 50332 57266 100664 114532 138413 229064 239077 276826 478154 553652 956308 1107304 1723871 1912616 2629847 3447742 5259694 6895484 10519388 13790968 18962581 21038776 32753549 37925162 65507098 75850324 131014196 151700648 262028392 360289039 720578078 1441156156 2882312312