Search a number
-
+
2213044033 is a prime number
BaseRepresentation
bin1000001111101000…
…0101111101000001
312201020020021200211
42003322011331001
514013014402113
61003333114121
7105561364264
oct20372057501
95636207624
102213044033
11a36229812
12519188941
1329364a915
1416dcb4cdb
15ce446b3d
hex83e85f41

2213044033 has 2 divisors, whose sum is σ = 2213044034. Its totient is φ = 2213044032.

The previous prime is 2213043997. The next prime is 2213044049. The reversal of 2213044033 is 3304403122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1192113729 + 1020930304 = 34527^2 + 31952^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2213044033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2213043995 and 2213044013.

It is not a weakly prime, because it can be changed into another prime (2213044073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106522016 + 1106522017.

It is an arithmetic number, because the mean of its divisors is an integer number (1106522017).

Almost surely, 22213044033 is an apocalyptic number.

It is an amenable number.

2213044033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213044033 is an equidigital number, since it uses as much as digits as its factorization.

2213044033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2213044033 is about 47043.0019556575. The cubic root of 2213044033 is about 1303.1568315105.

Adding to 2213044033 its reverse (3304403122), we get a palindrome (5517447155).

The spelling of 2213044033 in words is "two billion, two hundred thirteen million, forty-four thousand, thirty-three".