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221407441 is a prime number
BaseRepresentation
bin11010011001001…
…10100011010001
3120102121122220121
431030212203101
5423140014231
633545310241
75325634513
oct1514464321
9512548817
10221407441
11103a84762
1262195381
1336b41228
1421595bb3
1514687311
hexd3268d1

221407441 has 2 divisors, whose sum is σ = 221407442. Its totient is φ = 221407440.

The previous prime is 221407411. The next prime is 221407457. The reversal of 221407441 is 144704122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136399041 + 85008400 = 11679^2 + 9220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221407441 is a prime.

It is not a weakly prime, because it can be changed into another prime (221407411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110703720 + 110703721.

It is an arithmetic number, because the mean of its divisors is an integer number (110703721).

Almost surely, 2221407441 is an apocalyptic number.

It is an amenable number.

221407441 is a deficient number, since it is larger than the sum of its proper divisors (1).

221407441 is an equidigital number, since it uses as much as digits as its factorization.

221407441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 221407441 is about 14879.7661607970. The cubic root of 221407441 is about 604.9656798144.

The spelling of 221407441 in words is "two hundred twenty-one million, four hundred seven thousand, four hundred forty-one".