| Base | Representation |
|---|---|
| bin | 1100010110100011100… |
| … | …0101101001010110000 |
| 3 | 202021202111101002112200 |
| 4 | 3011220320231022300 |
| 5 | 11434103022434130 |
| 6 | 241253411023200 |
| 7 | 21221560346154 |
| oct | 3055070551260 |
| 9 | 667674332480 |
| 10 | 212213093040 |
| 11 | 81aa9838823 |
| 12 | 3516589ab00 |
| 13 | 1701c673650 |
| 14 | a3b212d064 |
| 15 | 57c0788760 |
| hex | 3168e2d2b0 |
212213093040 has 720 divisors, whose sum is σ = 858425786400. Its totient is φ = 46565425152.
The previous prime is 212213093039. The next prime is 212213093041. The reversal of 212213093040 is 40390312212.
It is a happy number.
212213093040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (212213093039) and next prime (212213093041).
It is a tau number, because it is divible by the number of its divisors (720).
It is a junction number, because it is equal to n+sod(n) for n = 212213092995 and 212213093013.
It is not an unprimeable number, because it can be changed into a prime (212213093041) 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 143 ways as a sum of consecutive naturals, for example, 51393696 + ... + 51397824.
Almost surely, 2212213093040 is an apocalyptic number.
212213093040 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 212213093040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429212893200).
212213093040 is an abundant number, since it is smaller than the sum of its proper divisors (646212693360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212213093040 is a wasteful number, since it uses less digits than its factorization.
212213093040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4214 (or 4188 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The spelling of 212213093040 in words is "two hundred twelve billion, two hundred thirteen million, ninety-three thousand, forty".
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