| Base | Representation |
|---|---|
| bin | 11010010111110… |
| … | …11110001011100 |
| 3 | 120102021202112221 |
| 4 | 31023323301130 |
| 5 | 423113412340 |
| 6 | 33541435124 |
| 7 | 5324304616 |
| oct | 1513736134 |
| 9 | 512252487 |
| 10 | 221232220 |
| 11 | 103975050 |
| 12 | 6210baa4 |
| 13 | 36aac551 |
| 14 | 2154bdb6 |
| 15 | 1465044a |
| hex | d2fbc5c |
221232220 has 96 divisors (see below), whose sum is σ = 541598400. Its totient is φ = 75018240.
The previous prime is 221232211. The next prime is 221232223. The reversal of 221232220 is 22232122.
It is a super-2 number, since 2×2212322202 = 97887390332256800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 221232194 and 221232203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221232223) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 557062 + ... + 557458.
It is an arithmetic number, because the mean of its divisors is an integer number (5641650).
Almost surely, 2221232220 is an apocalyptic number.
221232220 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 221232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270799200).
221232220 is an abundant number, since it is smaller than the sum of its proper divisors (320366180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221232220 is a wasteful number, since it uses less digits than its factorization.
221232220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 583 (or 581 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 221232220 is about 14873.8771004738. The cubic root of 221232220 is about 604.8060485232.
Adding to 221232220 its reverse (22232122), we get a palindrome (243464342).
The spelling of 221232220 in words is "two hundred twenty-one million, two hundred thirty-two thousand, two hundred twenty".
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