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414444221 is a prime number
BaseRepresentation
bin11000101100111…
…110101010111101
31001212211221120222
4120230332222331
51322044203341
6105042551125
713161501122
oct3054765275
91055757528
10414444221
111a2a41094
12b69684a5
1367b2ac89
143d084749
15265b844b
hex18b3eabd

414444221 has 2 divisors, whose sum is σ = 414444222. Its totient is φ = 414444220.

The previous prime is 414444203. The next prime is 414444223. The reversal of 414444221 is 122444414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363321721 + 51122500 = 19061^2 + 7150^2 .

It is a cyclic number.

It is not a de Polignac number, because 414444221 - 26 = 414444157 is a prime.

It is a Sophie Germain prime.

Together with 414444223, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414444223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207222110 + 207222111.

It is an arithmetic number, because the mean of its divisors is an integer number (207222111).

Almost surely, 2414444221 is an apocalyptic number.

It is an amenable number.

414444221 is a deficient number, since it is larger than the sum of its proper divisors (1).

414444221 is an equidigital number, since it uses as much as digits as its factorization.

414444221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4096, while the sum is 26.

The square root of 414444221 is about 20357.9031582332. The cubic root of 414444221 is about 745.5704658801.

Adding to 414444221 its reverse (122444414), we get a palindrome (536888635).

The spelling of 414444221 in words is "four hundred fourteen million, four hundred forty-four thousand, two hundred twenty-one".