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2214410441 is a prime number
BaseRepresentation
bin1000001111111101…
…0011100011001001
312201022210201001112
42003333103203021
514013342113231
61003422300105
7105606115055
oct20377234311
95638721045
102214410441
11a36a82381
12519727635
13293a08849
1417014cc65
15ce61692b
hex83fd38c9

2214410441 has 2 divisors, whose sum is σ = 2214410442. Its totient is φ = 2214410440.

The previous prime is 2214410411. The next prime is 2214410459. The reversal of 2214410441 is 1440144122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1618855225 + 595555216 = 40235^2 + 24404^2 .

It is a cyclic number.

It is not a de Polignac number, because 2214410441 - 214 = 2214394057 is a prime.

It is a super-2 number, since 2×22144104412 = 9807227202419628962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2214410411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1107205220 + 1107205221.

It is an arithmetic number, because the mean of its divisors is an integer number (1107205221).

Almost surely, 22214410441 is an apocalyptic number.

It is an amenable number.

2214410441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2214410441 is an equidigital number, since it uses as much as digits as its factorization.

2214410441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2214410441 is about 47057.5226823512. The cubic root of 2214410441 is about 1303.4249806514.

Adding to 2214410441 its reverse (1440144122), we get a palindrome (3654554563).

The spelling of 2214410441 in words is "two billion, two hundred fourteen million, four hundred ten thousand, four hundred forty-one".