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221140417 is a prime number
BaseRepresentation
bin11010010111001…
…01010111000001
3120102010002121211
431023211113001
5423102443132
633535450121
75323443151
oct1513452701
9512102554
10221140417
11103912083
1262086941
1336a79824
1421526761
1514633147
hexd2e55c1

221140417 has 2 divisors, whose sum is σ = 221140418. Its totient is φ = 221140416.

The previous prime is 221140393. The next prime is 221140421. The reversal of 221140417 is 714041122.

221140417 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., 143065521 + 78074896 = 11961^2 + 8836^2 .

It is a cyclic number.

It is not a de Polignac number, because 221140417 - 27 = 221140289 is a prime.

It is a super-3 number, since 3×2211404173 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (221140427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110570208 + 110570209.

It is an arithmetic number, because the mean of its divisors is an integer number (110570209).

Almost surely, 2221140417 is an apocalyptic number.

It is an amenable number.

221140417 is a deficient number, since it is larger than the sum of its proper divisors (1).

221140417 is an equidigital number, since it uses as much as digits as its factorization.

221140417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 221140417 is about 14870.7907321702. The cubic root of 221140417 is about 604.7223797408.

Adding to 221140417 its reverse (714041122), we get a palindrome (935181539).

The spelling of 221140417 in words is "two hundred twenty-one million, one hundred forty thousand, four hundred seventeen".