Search a number
-
+
2229937181 is a prime number
BaseRepresentation
bin1000010011101010…
…0010010000011101
312202102000112201222
42010322202100131
514031330442211
61005135143125
7106155103403
oct20472422035
95672015658
102229937181
11a4481789a
12522974aa5
13296cb3b74
14172231473
15d0b821db
hex84ea241d

2229937181 has 2 divisors, whose sum is σ = 2229937182. Its totient is φ = 2229937180.

The previous prime is 2229937169. The next prime is 2229937183. The reversal of 2229937181 is 1817399222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2221613956 + 8323225 = 47134^2 + 2885^2 .

It is a cyclic number.

It is not a de Polignac number, because 2229937181 - 26 = 2229937117 is a prime.

It is a super-2 number, since 2×22299371812 = 9945239662412453522, which contains 22 as substring.

Together with 2229937183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2229937183) by changing a digit.

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 as a sum of consecutive naturals, namely, 1114968590 + 1114968591.

It is an arithmetic number, because the mean of its divisors is an integer number (1114968591).

Almost surely, 22229937181 is an apocalyptic number.

It is an amenable number.

2229937181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2229937181 is an equidigital number, since it uses as much as digits as its factorization.

2229937181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 44.

The square root of 2229937181 is about 47222.2106746391. The cubic root of 2229937181 is about 1306.4642882619.

The spelling of 2229937181 in words is "two billion, two hundred twenty-nine million, nine hundred thirty-seven thousand, one hundred eighty-one".