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10166221 = 1317157293
BaseRepresentation
bin100110110001…
…111111001101
3201010111102201
4212301333031
510100304341
61001521501
7152261062
oct46617715
921114381
1010166221
11581403a
1234a3291
13214c420
1414c8c69
15d5c331
hex9b1fcd

10166221 has 16 divisors (see below), whose sum is σ = 11705904. Its totient is φ = 8745984.

The previous prime is 10166213. The next prime is 10166249. The reversal of 10166221 is 12266101.

It can be written as a sum of positive squares in 8 ways, for example, as 148996 + 10017225 = 386^2 + 3165^2 .

It is not a de Polignac number, because 10166221 - 23 = 10166213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34551 + ... + 34843.

It is an arithmetic number, because the mean of its divisors is an integer number (731619).

Almost surely, 210166221 is an apocalyptic number.

It is an amenable number.

10166221 is a deficient number, since it is larger than the sum of its proper divisors (1539683).

10166221 is a wasteful number, since it uses less digits than its factorization.

10166221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10166221 is about 3188.4511914094. The cubic root of 10166221 is about 216.6306230641.

The spelling of 10166221 in words is "ten million, one hundred sixty-six thousand, two hundred twenty-one".

Divisors: 1 13 17 157 221 293 2041 2669 3809 4981 34697 46001 64753 598013 782017 10166221