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221410017 = 348930713
BaseRepresentation
bin11010011001001…
…11001011100001
3120102121210110000
431030213023201
5423140110032
633545330213
75325645153
oct1514471341
9512553400
10221410017
11103a86694
1262196969
1336b4245a
1421596ad3
1514687e7c
hexd3272e1

221410017 has 20 divisors (see below), whose sum is σ = 334475460. Its totient is φ = 145943424.

The previous prime is 221410003. The next prime is 221410039. The reversal of 221410017 is 710014122.

221410017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 125350416 + 96059601 = 11196^2 + 9801^2 .

It is not a de Polignac number, because 221410017 - 24 = 221410001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221410087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8148 + ... + 22565.

It is an arithmetic number, because the mean of its divisors is an integer number (16723773).

Almost surely, 2221410017 is an apocalyptic number.

221410017 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

221410017 is a deficient number, since it is larger than the sum of its proper divisors (113065443).

221410017 is an equidigital number, since it uses as much as digits as its factorization.

221410017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30814 (or 30805 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 221410017 is about 14879.8527210453. The cubic root of 221410017 is about 604.9680259950.

Adding to 221410017 its reverse (710014122), we get a palindrome (931424139).

The spelling of 221410017 in words is "two hundred twenty-one million, four hundred ten thousand, seventeen".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 30713 92139 276417 829251 2487753 2733457 8200371 24601113 73803339 221410017