Base | Representation |
---|---|
bin | 11001011010101… |
… | …10000000100110 |
3 | 112212012100120000 |
4 | 30231112000212 |
5 | 414040310342 |
6 | 33053522130 |
7 | 5166165615 |
oct | 1455260046 |
9 | 485170500 |
10 | 213213222 |
11 | aa398282 |
12 | 5b4a3346 |
13 | 35232591 |
14 | 2046187c |
15 | 13ab944c |
hex | cb56026 |
213213222 has 80 divisors (see below), whose sum is σ = 491409072. Its totient is φ = 69076800.
The previous prime is 213213181. The next prime is 213213227. The reversal of 213213222 is 222312312.
213213222 is a `hidden beast` number, since 21 + 321 + 322 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 = 213213195 and 213213204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213213227) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1357968 + ... + 1358124.
Almost surely, 2213213222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245704536).
213213222 is an abundant number, since it is smaller than the sum of its proper divisors (278195850).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213213222 is a wasteful number, since it uses less digits than its factorization.
213213222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 355 (or 346 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 213213222 is about 14601.8225574755. The cubic root of 213213222 is about 597.4084727598.
Adding to 213213222 its reverse (222312312), we get a palindrome (435525534).
The spelling of 213213222 in words is "two hundred thirteen million, two hundred thirteen thousand, two hundred twenty-two".
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