Base | Representation |
---|---|
bin | 100110000001… |
… | …001010001110 |
3 | 200202100002100 |
4 | 212001022032 |
5 | 10022404342 |
6 | 553335530 |
7 | 150466020 |
oct | 46011216 |
9 | 20670070 |
10 | 9966222 |
11 | 5697852 |
12 | 34075a6 |
13 | 20ac396 |
14 | 1476010 |
15 | d1ce4c |
hex | 98128e |
9966222 has 96 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 2566080.
The previous prime is 9966217. The next prime is 9966223. The reversal of 9966222 is 2226699.
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 10.
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9966223) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54972 + ... + 55152.
It is an arithmetic number, because the mean of its divisors is an integer number (283920).
Almost surely, 29966222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9966222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628160).
9966222 is an abundant number, since it is smaller than the sum of its proper divisors (17290098).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9966222 is a wasteful number, since it uses less digits than its factorization.
9966222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 238 (or 235 counting only the distinct ones).
The product of its digits is 23328, while the sum is 36.
The square root of 9966222 is about 3156.9323717812. The cubic root of 9966222 is about 215.2006203830.
The spelling of 9966222 in words is "nine million, nine hundred sixty-six thousand, two hundred twenty-two".
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