| Base | Representation |
|---|---|
| bin | 1000001111101100… |
| … | …1001110110010100 |
| 3 | 12201020202102011210 |
| 4 | 2003323021312110 |
| 5 | 14013102302012 |
| 6 | 1003343101420 |
| 7 | 105563633130 |
| oct | 20373116624 |
| 9 | 5636672153 |
| 10 | 2213322132 |
| 11 | a363a974a |
| 12 | 5192a1870 |
| 13 | 293717388 |
| 14 | 16dd483c0 |
| 15 | ce49e23c |
| hex | 83ec9d94 |
2213322132 has 96 divisors (see below), whose sum is σ = 6014856960. Its totient is φ = 620421120.
The previous prime is 2213322127. The next prime is 2213322143. The reversal of 2213322132 is 2312233122.
It is a happy number.
2213322132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×22133221323 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2213322099 and 2213322108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023132 + ... + 1025292.
It is an arithmetic number, because the mean of its divisors is an integer number (62654760).
Almost surely, 22213322132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2213322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007428480).
2213322132 is an abundant number, since it is smaller than the sum of its proper divisors (3801534828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2213322132 is a wasteful number, since it uses less digits than its factorization.
2213322132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2401 (or 2399 counting only the distinct ones).
The product of its digits is 864, while the sum is 21.
The square root of 2213322132 is about 47045.9576584429. The cubic root of 2213322132 is about 1303.2114156680.
Adding to 2213322132 its reverse (2312233122), we get a palindrome (4525555254).
The spelling of 2213322132 in words is "two billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-two".
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