Search a number
-
+
2212302312 = 2332114316481
BaseRepresentation
bin1000001111011101…
…0000110111101000
312201011211121020200
42003313100313220
514012322133222
61003305152200
7105552154653
oct20367206750
95634747220
102212302312
11a35872520
12518a8b660
1329344b12c
1416db6089a
15ce34beac
hex83dd0de8

2212302312 has 96 divisors (see below), whose sum is σ = 6552524160. Its totient is φ = 668736000.

The previous prime is 2212302299. The next prime is 2212302319. The reversal of 2212302312 is 2132032122.

2212302312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2212302319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338112 + ... + 344592.

It is an arithmetic number, because the mean of its divisors is an integer number (68255460).

Almost surely, 22212302312 is an apocalyptic number.

2212302312 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 2212302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276262080).

2212302312 is an abundant number, since it is smaller than the sum of its proper divisors (4340221848).

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

2212302312 is a wasteful number, since it uses less digits than its factorization.

2212302312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2212302312 is about 47035.1178588935. The cubic root of 2212302312 is about 1303.0112271183.

Adding to 2212302312 its reverse (2132032122), we get a palindrome (4344334434).

The spelling of 2212302312 in words is "two billion, two hundred twelve million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 431 792 862 1293 1724 2586 3448 3879 4741 5172 6481 7758 9482 10344 12962 14223 15516 18964 19443 25924 28446 31032 37928 38886 42669 51848 56892 58329 71291 77772 85338 113784 116658 142582 155544 170676 213873 233316 285164 341352 427746 466632 570328 641619 855492 1283238 1710984 2566476 2793311 5132952 5586622 8379933 11173244 16759866 22346488 25139799 30726421 33519732 50279598 61452842 67039464 92179263 100559196 122905684 184358526 201118392 245811368 276537789 368717052 553075578 737434104 1106151156 2212302312