Search a number
-
+
2267088881 is a prime number
BaseRepresentation
bin1000011100100001…
…0000011111110001
312211222221001021212
42013020100133301
514120333321011
61012543325505
7110115636401
oct20710203761
95758831255
102267088881
11a63792482
125332b0895
132a18c1115
14177142801
15d407008b
hex872107f1

2267088881 has 2 divisors, whose sum is σ = 2267088882. Its totient is φ = 2267088880.

The previous prime is 2267088823. The next prime is 2267088883. The reversal of 2267088881 is 1888807622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2066611600 + 200477281 = 45460^2 + 14159^2 .

It is a cyclic number.

It is not a de Polignac number, because 2267088881 - 214 = 2267072497 is a prime.

It is a super-2 number, since 2×22670888812 = 10279383988707664322, which contains 22 as substring.

Together with 2267088883, 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 (2267088883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1133544440 + 1133544441.

It is an arithmetic number, because the mean of its divisors is an integer number (1133544441).

Almost surely, 22267088881 is an apocalyptic number.

It is an amenable number.

2267088881 is a deficient number, since it is larger than the sum of its proper divisors (1).

2267088881 is an equidigital number, since it uses as much as digits as its factorization.

2267088881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 688128, while the sum is 50.

The square root of 2267088881 is about 47613.9567878999. The cubic root of 2267088881 is about 1313.6797808750.

The spelling of 2267088881 in words is "two billion, two hundred sixty-seven million, eighty-eight thousand, eight hundred eighty-one".