[go: up one dir, main page]

Search a number
-
+
2213002361 is a prime number
BaseRepresentation
bin1000001111100111…
…1011110001111001
312201020011011112102
42003321323301321
514013012033421
61003332153145
7105561131633
oct20371736171
95636134472
102213002361
11a36200479
125191687b5
1329363496b
1416dca3a53
15ce43960b
hex83e7bc79

2213002361 has 2 divisors, whose sum is σ = 2213002362. Its totient is φ = 2213002360.

The previous prime is 2213002331. The next prime is 2213002381. The reversal of 2213002361 is 1632003122.

It is a happy number.

It is an a-pointer prime, because the next prime (2213002381) can be obtained adding 2213002361 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1571646736 + 641355625 = 39644^2 + 25325^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213002361 - 210 = 2213001337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2213002331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106501180 + 1106501181.

It is an arithmetic number, because the mean of its divisors is an integer number (1106501181).

Almost surely, 22213002361 is an apocalyptic number.

It is an amenable number.

2213002361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213002361 is an equidigital number, since it uses as much as digits as its factorization.

2213002361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2213002361 is about 47042.5590396611. The cubic root of 2213002361 is about 1303.1486519033.

Adding to 2213002361 its reverse (1632003122), we get a palindrome (3845005483).

The spelling of 2213002361 in words is "two billion, two hundred thirteen million, two thousand, three hundred sixty-one".