Search a number
-
+
2247245681 is a prime number
BaseRepresentation
bin1000010111110010…
…0011111101110001
312210121120220112112
42011330203331301
514100243330211
61010554135105
7106455162452
oct20574437561
95717526475
102247245681
11a53569a3a
12528721495
1329a764195
14174659129
15d245088b
hex85f23f71

2247245681 has 2 divisors, whose sum is σ = 2247245682. Its totient is φ = 2247245680.

The previous prime is 2247245677. The next prime is 2247245683. The reversal of 2247245681 is 1865427422.

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., 2245243456 + 2002225 = 47384^2 + 1415^2 .

It is a cyclic number.

It is not a de Polignac number, because 2247245681 - 22 = 2247245677 is a prime.

It is a super-2 number, since 2×22472456812 = 10100226301546307522, which contains 22 as substring.

Together with 2247245683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2247245683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123622840 + 1123622841.

It is an arithmetic number, because the mean of its divisors is an integer number (1123622841).

Almost surely, 22247245681 is an apocalyptic number.

It is an amenable number.

2247245681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2247245681 is an equidigital number, since it uses as much as digits as its factorization.

2247245681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 215040, while the sum is 41.

The square root of 2247245681 is about 47405.1229404587. The cubic root of 2247245681 is about 1309.8357856043.

The spelling of 2247245681 in words is "two billion, two hundred forty-seven million, two hundred forty-five thousand, six hundred eighty-one".