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8141221 = 113783241
BaseRepresentation
bin11111000011100110100101
3120022121122201
4133003212211
54041004341
6450254501
7126125224
oct37034645
916277581
108141221
114660690
122887431
1318c07ba
14111ccbb
15aac331
hex7c39a5

8141221 has 16 divisors (see below), whose sum is σ = 9269568. Its totient is φ = 7084800.

The previous prime is 8141213. The next prime is 8141227. The reversal of 8141221 is 1221418.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 8141221 - 23 = 8141213 is a prime.

8141221 is a modest number, since divided by 1221 gives 814 as remainder.

8141221 is a lucky number.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8141227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33661 + ... + 33901.

It is an arithmetic number, because the mean of its divisors is an integer number (579348).

Almost surely, 28141221 is an apocalyptic number.

It is an amenable number.

8141221 is a deficient number, since it is larger than the sum of its proper divisors (1128347).

8141221 is a wasteful number, since it uses less digits than its factorization.

8141221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its digits is 128, while the sum is 19.

The square root of 8141221 is about 2853.2824956530. The cubic root of 8141221 is about 201.1699840075.

Adding to 8141221 its reverse (1221418), we get a palindrome (9362639).

The spelling of 8141221 in words is "eight million, one hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 11 37 83 241 407 913 2651 3071 8917 20003 33781 98087 220033 740111 8141221