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221200097 = 312376221
BaseRepresentation
bin11010010111100…
…11111011100001
3120102020010111012
431023303323201
5423111400342
633541030305
75324112146
oct1513637341
9512203435
10221200097
111039529a8
12620b5395
1336a9aa41
14215403cd
1514645b82
hexd2f3ee1

221200097 has 12 divisors (see below), whose sum is σ = 234780948. Its totient is φ = 208245600.

The previous prime is 221200093. The next prime is 221200121. The reversal of 221200097 is 790002122.

It can be written as a sum of positive squares in 2 ways, for example, as 95961616 + 125238481 = 9796^2 + 11191^2 .

It is not a de Polignac number, because 221200097 - 22 = 221200093 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221200093) 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, 32447 + ... + 38667.

It is an arithmetic number, because the mean of its divisors is an integer number (19565079).

Almost surely, 2221200097 is an apocalyptic number.

It is an amenable number.

221200097 is a deficient number, since it is larger than the sum of its proper divisors (13580851).

221200097 is an equidigital number, since it uses as much as digits as its factorization.

221200097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 221200097 is about 14872.7972150500. The cubic root of 221200097 is about 604.7767744191.

The spelling of 221200097 in words is "two hundred twenty-one million, two hundred thousand, ninety-seven".

Divisors: 1 31 37 961 1147 6221 35557 192851 230177 5978381 7135487 221200097