| Base | Representation |
|---|---|
| bin | 11001001100001… |
| … | …01111001011100 |
| 3 | 112201121202212112 |
| 4 | 30212011321130 |
| 5 | 413043442340 |
| 6 | 32545053152 |
| 7 | 5144060420 |
| oct | 1446057134 |
| 9 | 481552775 |
| 10 | 211312220 |
| 11 | a9309aa9 |
| 12 | 5a9271b8 |
| 13 | 34a18222 |
| 14 | 200c8b80 |
| 15 | 13841065 |
| hex | c985e5c |
211312220 has 48 divisors (see below), whose sum is σ = 509073600. Its totient is φ = 72175104.
The previous prime is 211312181. The next prime is 211312223. The reversal of 211312220 is 22213112.
It is a happy number.
211312220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 211312195 and 211312204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211312223) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36056 + ... + 41504.
It is an arithmetic number, because the mean of its divisors is an integer number (10605700).
Almost surely, 2211312220 is an apocalyptic number.
211312220 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 211312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254536800).
211312220 is an abundant number, since it is smaller than the sum of its proper divisors (297761380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211312220 is a wasteful number, since it uses less digits than its factorization.
211312220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5742 (or 5740 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 211312220 is about 14536.5821292352. The cubic root of 211312220 is about 595.6276783637.
Adding to 211312220 its reverse (22213112), we get a palindrome (233525332).
The spelling of 211312220 in words is "two hundred eleven million, three hundred twelve thousand, two hundred twenty".
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