Base | Representation |
---|---|
bin | 11010010111100… |
… | …11111011111010 |
3 | 120102020010112010 |
4 | 31023303323322 |
5 | 423111400442 |
6 | 33541030350 |
7 | 5324112213 |
oct | 1513637372 |
9 | 512203463 |
10 | 221200122 |
11 | 103952a20 |
12 | 620b53b6 |
13 | 36a9aa60 |
14 | 2154040a |
15 | 14645b9c |
hex | d2f3efa |
221200122 has 64 divisors (see below), whose sum is σ = 524998656. Its totient is φ = 61248960.
The previous prime is 221200121. The next prime is 221200123. The reversal of 221200122 is 221002122.
It is an interprime number because it is at equal distance from previous prime (221200121) and next prime (221200123).
It is a junction number, because it is equal to n+sod(n) for n = 221200098 and 221200107.
It is not an unprimeable number, because it can be changed into a prime (221200121) 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, 87123 + ... + 89625.
It is an arithmetic number, because the mean of its divisors is an integer number (8203104).
Almost surely, 2221200122 is an apocalyptic number.
221200122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 221200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262499328).
221200122 is an abundant number, since it is smaller than the sum of its proper divisors (303798534).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221200122 is a wasteful number, since it uses less digits than its factorization.
221200122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2635.
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 221200122 is about 14872.7980555106. The cubic root of 221200122 is about 604.7767972031.
Adding to 221200122 its reverse (221002122), we get a palindrome (442202244).
The spelling of 221200122 in words is "two hundred twenty-one million, two hundred thousand, one hundred twenty-two".
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