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221200221 = 3113311787
BaseRepresentation
bin11010010111100…
…11111101011101
3120102020010122210
431023303331131
5423111401341
633541031033
75324112414
oct1513637535
9512203583
10221200221
11103953000
12620b5479
1336a9ab08
142154047b
1514645c16
hexd2f3f5d

221200221 has 32 divisors (see below), whose sum is σ = 335056896. Its totient is φ = 129663600.

The previous prime is 221200211. The next prime is 221200249. The reversal of 221200221 is 122002122.

It is not a de Polignac number, because 221200221 - 27 = 221200093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221200197 and 221200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122890 + ... + 124676.

It is an arithmetic number, because the mean of its divisors is an integer number (10470528).

Almost surely, 2221200221 is an apocalyptic number.

It is an amenable number.

221200221 is a deficient number, since it is larger than the sum of its proper divisors (113856675).

221200221 is a wasteful number, since it uses less digits than its factorization.

221200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221200221 is about 14872.8013837340. The cubic root of 221200221 is about 604.7768874274.

Adding to 221200221 its reverse (122002122), we get a palindrome (343202343).

The spelling of 221200221 in words is "two hundred twenty-one million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 31 33 93 121 341 363 1023 1331 1787 3751 3993 5361 11253 19657 41261 55397 58971 123783 166191 216227 609367 648681 1828101 2378497 6703037 7135491 20109111 73733407 221200221