| Base | Representation |
|---|---|
| bin | 1000001111101101… |
| … | …1111110111100000 |
| 3 | 12201020220222220002 |
| 4 | 2003323133313200 |
| 5 | 14013113143240 |
| 6 | 1003345035132 |
| 7 | 105564460100 |
| oct | 20373376740 |
| 9 | 5636828802 |
| 10 | 2213412320 |
| 11 | a36460489 |
| 12 | 519325aa8 |
| 13 | 293749442 |
| 14 | 16dd6d200 |
| 15 | ce4bad15 |
| hex | 83edfde0 |
2213412320 has 144 divisors (see below), whose sum is σ = 6144229728. Its totient is φ = 751242240.
The previous prime is 2213412319. The next prime is 2213412323. The reversal of 2213412320 is 232143122.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2213412292 and 2213412301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2213412323) 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 23 ways as a sum of consecutive naturals, for example, 806150 + ... + 808890.
It is an arithmetic number, because the mean of its divisors is an integer number (42668262).
Almost surely, 22213412320 is an apocalyptic number.
2213412320 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 2213412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072114864).
2213412320 is an abundant number, since it is smaller than the sum of its proper divisors (3930817408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2213412320 is a wasteful number, since it uses less digits than its factorization.
2213412320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2873 (or 2858 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 2213412320 is about 47046.9161582351. The cubic root of 2213412320 is about 1303.2291164255.
Adding to 2213412320 its reverse (232143122), we get a palindrome (2445555442).
The spelling of 2213412320 in words is "two billion, two hundred thirteen million, four hundred twelve thousand, three hundred twenty".
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