Base | Representation |
---|---|
bin | 11010010000000… |
… | …10100011011100 |
3 | 120100100220021112 |
4 | 31020002203130 |
5 | 422333231140 |
6 | 33503521152 |
7 | 5312523542 |
oct | 1510024334 |
9 | 510326245 |
10 | 220211420 |
11 | 103338110 |
12 | 618b91b8 |
13 | 36812a20 |
14 | 21363d92 |
15 | 144ecc65 |
hex | d2028dc |
220211420 has 96 divisors (see below), whose sum is σ = 558242496. Its totient is φ = 71884800.
The previous prime is 220211419. The next prime is 220211429. The reversal of 220211420 is 24112022.
It is a junction number, because it is equal to n+sod(n) for n = 220211395 and 220211404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (220211429) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104780 + ... + 106860.
It is an arithmetic number, because the mean of its divisors is an integer number (5815026).
Almost surely, 2220211420 is an apocalyptic number.
220211420 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 220211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279121248).
220211420 is an abundant number, since it is smaller than the sum of its proper divisors (338031076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220211420 is a wasteful number, since it uses less digits than its factorization.
220211420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2151 (or 2149 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 220211420 is about 14839.5222295059. The cubic root of 220211420 is about 603.8743909376.
Adding to 220211420 its reverse (24112022), we get a palindrome (244323442).
It can be divided in two parts, 220 and 211420, that multiplied together give a square (46512400 = 68202).
The spelling of 220211420 in words is "two hundred twenty million, two hundred eleven thousand, four hundred twenty".
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