Search a number
-
+
311500212 = 223192415669
BaseRepresentation
bin10010100100010…
…001110110110100
3210201010211221220
4102210101312310
51114221001322
650524310340
710501464612
oct2244216664
9721124856
10311500212
1114a9197a1
12883a23b0
134c6c646a
142d5286b2
151c53155c
hex12911db4

311500212 has 48 divisors (see below), whose sum is σ = 768398400. Its totient is φ = 97943040.

The previous prime is 311500199. The next prime is 311500237. The reversal of 311500212 is 212005113.

It is a junction number, because it is equal to n+sod(n) for n = 311500191 and 311500200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52114 + ... + 57782.

It is an arithmetic number, because the mean of its divisors is an integer number (16008300).

Almost surely, 2311500212 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 311500212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384199200).

311500212 is an abundant number, since it is smaller than the sum of its proper divisors (456898188).

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

311500212 is a wasteful number, since it uses less digits than its factorization.

311500212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 311500212 is about 17649.3686006044. The cubic root of 311500212 is about 677.8799397577.

Adding to 311500212 its reverse (212005113), we get a palindrome (523505325).

The spelling of 311500212 in words is "three hundred eleven million, five hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 241 482 723 964 1446 2892 4579 5669 9158 11338 13737 17007 18316 22676 27474 34014 54948 68028 107711 215422 323133 430844 646266 1292532 1366229 2732458 4098687 5464916 8197374 16394748 25958351 51916702 77875053 103833404 155750106 311500212