| Base | Representation |
|---|---|
| bin | 1000010001010010… |
| … | …1101100111010000 |
| 3 | 12201201100210222100 |
| 4 | 2010110231213100 |
| 5 | 14021311202344 |
| 6 | 1004142440400 |
| 7 | 106004610000 |
| oct | 20424554720 |
| 9 | 5651323870 |
| 10 | 2220022224 |
| 11 | a3a165612 |
| 12 | 51b593100 |
| 13 | 294c21c24 |
| 14 | 170bb0000 |
| 15 | ced74569 |
| hex | 8452d9d0 |
2220022224 has 150 divisors (see below), whose sum is σ = 7249172866. Its totient is φ = 634193280.
The previous prime is 2220022201. The next prime is 2220022243. The reversal of 2220022224 is 4222200222.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 1694145600 + 525876624 = 41160^2 + 22932^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2220022197 and 2220022206.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 342534 + ... + 348954.
Almost surely, 22220022224 is an apocalyptic number.
2220022224 is a gapful number since it is divisible by the number (24) 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 2220022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624586433).
2220022224 is an abundant number, since it is smaller than the sum of its proper divisors (5029150642).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220022224 is an equidigital number, since it uses as much as digits as its factorization.
2220022224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6463 (or 6433 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 2220022224 is about 47117.1117960344. Note that the first 3 decimals coincide. The cubic root of 2220022224 is about 1304.5251031094.
Adding to 2220022224 its reverse (4222200222), we get a palindrome (6442222446).
The spelling of 2220022224 in words is "two billion, two hundred twenty million, twenty-two thousand, two hundred twenty-four".
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