Base | Representation |
---|---|
bin | 100110111111… |
… | …100110110000 |
3 | 201020022221121 |
4 | 212333212300 |
5 | 10104101000 |
6 | 1003032024 |
7 | 152612515 |
oct | 46774660 |
9 | 21208847 |
10 | 10222000 |
11 | 5851a38 |
12 | 350b614 |
13 | 216b929 |
14 | 150130c |
15 | d6db1a |
hex | 9bf9b0 |
10222000 has 80 divisors (see below), whose sum is σ = 26114400. Its totient is φ = 3859200.
The previous prime is 10221973. The next prime is 10222001. The reversal of 10222000 is 22201.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10222001) 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, 37866 + ... + 38134.
It is an arithmetic number, because the mean of its divisors is an integer number (326430).
Almost surely, 210222000 is an apocalyptic number.
10222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057200).
10222000 is an abundant number, since it is smaller than the sum of its proper divisors (15892400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10222000 is a wasteful number, since it uses less digits than its factorization.
10222000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 311 (or 295 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 7.
The square root of 10222000 is about 3197.1862629506. The cubic root of 10222000 is about 217.0260963752.
Adding to 10222000 its reverse (22201), we get a palindrome (10244201).
The spelling of 10222000 in words is "ten million, two hundred twenty-two thousand".
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