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2253814441 is a prime number
BaseRepresentation
bin1000011001010110…
…0111101010101001
312211001221122011221
42012111213222221
514103434030231
61011351022041
7106565051404
oct20625475251
95731848157
102253814441
11a5724616a
1252a96a921
1329bc24018
14175488d3b
15d2cebd11
hex86567aa9

2253814441 has 2 divisors, whose sum is σ = 2253814442. Its totient is φ = 2253814440.

The previous prime is 2253814363. The next prime is 2253814469. The reversal of 2253814441 is 1444183522.

2253814441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1706020416 + 547794025 = 41304^2 + 23405^2 .

It is a cyclic number.

It is not a de Polignac number, because 2253814441 - 213 = 2253806249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2253814397 and 2253814406.

It is not a weakly prime, because it can be changed into another prime (2253814471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126907220 + 1126907221.

It is an arithmetic number, because the mean of its divisors is an integer number (1126907221).

Almost surely, 22253814441 is an apocalyptic number.

It is an amenable number.

2253814441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253814441 is an equidigital number, since it uses as much as digits as its factorization.

2253814441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30720, while the sum is 34.

The square root of 2253814441 is about 47474.3556143735. The cubic root of 2253814441 is about 1311.1107726304.

Adding to 2253814441 its reverse (1444183522), we get a palindrome (3697997963).

The spelling of 2253814441 in words is "two billion, two hundred fifty-three million, eight hundred fourteen thousand, four hundred forty-one".