Search a number
-
+
2212131213 = 32245792357
BaseRepresentation
bin1000001111011010…
…0111000110001101
312201011111220112200
42003312213012031
514012301144323
61003301352113
7105550543065
oct20366470615
95634456480
102212131213
11a35765a16
12518a08639
132933bb2a6
1416db183a5
15ce316443
hex83da718d

2212131213 has 6 divisors (see below), whose sum is σ = 3195300654. Its totient is φ = 1474754136.

The previous prime is 2212131211. The next prime is 2212131217. The reversal of 2212131213 is 3121312122.

2212131213 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1340877924 + 871253289 = 36618^2 + 29517^2 .

It is not a de Polignac number, because 2212131213 - 21 = 2212131211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212131211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122896170 + ... + 122896187.

It is an arithmetic number, because the mean of its divisors is an integer number (532550109).

Almost surely, 22212131213 is an apocalyptic number.

It is an amenable number.

2212131213 is a deficient number, since it is larger than the sum of its proper divisors (983169441).

2212131213 is a wasteful number, since it uses less digits than its factorization.

2212131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245792363 (or 245792360 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2212131213 is about 47033.2989806159. The cubic root of 2212131213 is about 1302.9776347133.

Adding to 2212131213 its reverse (3121312122), we get a palindrome (5333443335).

The spelling of 2212131213 in words is "two billion, two hundred twelve million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 245792357 737377071 2212131213