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966688221 = 31731611441
BaseRepresentation
bin111001100111100…
…111110111011101
32111100222211221110
4321213213313131
53434433010341
6235531252233
732645500002
oct7147476735
92440884843
10966688221
11456741194
1222b8aa079
13125375985
14925598a9
1559d01216
hex399e7ddd

966688221 has 16 divisors (see below), whose sum is σ = 1408762368. Its totient is φ = 586982400.

The previous prime is 966688199. The next prime is 966688223. The reversal of 966688221 is 122886669.

It is a happy number.

It is not a de Polignac number, because 966688221 - 26 = 966688157 is a prime.

It is a super-2 number, since 2×9666882212 = 1868972233240289682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966688223) 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, 304140 + ... + 307301.

It is an arithmetic number, because the mean of its divisors is an integer number (88047648).

Almost surely, 2966688221 is an apocalyptic number.

It is an amenable number.

966688221 is a deficient number, since it is larger than the sum of its proper divisors (442074147).

966688221 is a wasteful number, since it uses less digits than its factorization.

966688221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611492.

The product of its digits is 497664, while the sum is 48.

The square root of 966688221 is about 31091.6101384280. The cubic root of 966688221 is about 988.7704427371.

The spelling of 966688221 in words is "nine hundred sixty-six million, six hundred eighty-eight thousand, two hundred twenty-one".

Divisors: 1 3 17 31 51 93 527 1581 611441 1834323 10394497 18954671 31183491 56864013 322229407 966688221