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221206941 = 32171445797
BaseRepresentation
bin11010010111101…
…01100110011101
3120102020110212200
431023311212131
5423112110231
633541122113
75324141124
oct1513654635
9512213780
10221206941
1110395805a
12620b9339
1336aa0ba7
1421542abb
1514647be6
hexd2f599d

221206941 has 12 divisors (see below), whose sum is σ = 338316732. Its totient is φ = 138796416.

The previous prime is 221206927. The next prime is 221206943. The reversal of 221206941 is 149602122.

It can be written as a sum of positive squares in 2 ways, for example, as 102941316 + 118265625 = 10146^2 + 10875^2 .

It is not a de Polignac number, because 221206941 - 27 = 221206813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221206943) 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 in 11 ways as a sum of consecutive naturals, for example, 722746 + ... + 723051.

It is an arithmetic number, because the mean of its divisors is an integer number (28193061).

Almost surely, 2221206941 is an apocalyptic number.

It is an amenable number.

221206941 is a deficient number, since it is larger than the sum of its proper divisors (117109791).

221206941 is a wasteful number, since it uses less digits than its factorization.

221206941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445820 (or 1445817 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 221206941 is about 14873.0272977629. The cubic root of 221206941 is about 604.7830116822.

The spelling of 221206941 in words is "two hundred twenty-one million, two hundred six thousand, nine hundred forty-one".

Divisors: 1 3 9 17 51 153 1445797 4337391 13012173 24578549 73735647 221206941