Base | Representation |
---|---|
bin | 11010011110101… |
… | …11011100110100 |
3 | 120110222110211212 |
4 | 31033113130310 |
5 | 423331211040 |
6 | 34013020552 |
7 | 5335043135 |
oct | 1517273464 |
9 | 513873755 |
10 | 222132020 |
11 | 10442a090 |
12 | 62484758 |
13 | 37035c86 |
14 | 21703c8c |
15 | 1477bd65 |
hex | d3d7734 |
222132020 has 48 divisors (see below), whose sum is σ = 516087936. Its totient is φ = 79632000.
The previous prime is 222131989. The next prime is 222132041. The reversal of 222132020 is 20231222.
It is a junction number, because it is equal to n+sod(n) for n = 222131986 and 222132004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8510 + ... + 22730.
It is an arithmetic number, because the mean of its divisors is an integer number (10751832).
Almost surely, 2222132020 is an apocalyptic number.
222132020 is a gapful number since it is divisible by the number (20) 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 222132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258043968).
222132020 is an abundant number, since it is smaller than the sum of its proper divisors (293955916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222132020 is a wasteful number, since it uses less digits than its factorization.
222132020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14312 (or 14310 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 222132020 is about 14904.0940684095. The cubic root of 222132020 is about 605.6248990284.
Adding to 222132020 its reverse (20231222), we get a palindrome (242363242).
The spelling of 222132020 in words is "two hundred twenty-two million, one hundred thirty-two thousand, twenty".
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