Base | Representation |
---|---|
bin | 11001010001101… |
… | …11101000100000 |
3 | 112202222202111122 |
4 | 30220313220200 |
5 | 413240241344 |
6 | 33012431412 |
7 | 5153212034 |
oct | 1450675040 |
9 | 482882448 |
10 | 212040224 |
11 | a9766a60 |
12 | 5b018568 |
13 | 34c116b6 |
14 | 202381c4 |
15 | 13936aee |
hex | ca37a20 |
212040224 has 48 divisors (see below), whose sum is σ = 466028640. Its totient is φ = 94133760.
The previous prime is 212040223. The next prime is 212040263. The reversal of 212040224 is 422040212.
It is a happy number.
It is a super-2 number, since 2×2120402242 = 89922113187940352, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (212040221) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8132 + ... + 22140.
It is an arithmetic number, because the mean of its divisors is an integer number (9708930).
Almost surely, 2212040224 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 212040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233014320).
212040224 is an abundant number, since it is smaller than the sum of its proper divisors (253988416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212040224 is a wasteful number, since it uses less digits than its factorization.
212040224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14073 (or 14065 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 17.
The square root of 212040224 is about 14561.6010108779. The cubic root of 212040224 is about 596.3109048566.
Adding to 212040224 its reverse (422040212), we get a palindrome (634080436).
The spelling of 212040224 in words is "two hundred twelve million, forty thousand, two hundred twenty-four".
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