Base | Representation |
---|---|
bin | 1010001001010100000011… |
… | …00001010100110010110100 |
3 | 2220222211121111200100202200 |
4 | 11010222001201110302310 |
5 | 10411012324140212322 |
6 | 115241102443504500 |
7 | 4461601242444114 |
oct | 504520141246264 |
9 | 86884544610680 |
10 | 22310233132212 |
11 | 7121797a81883 |
12 | 2603a57b28130 |
13 | c5aacc74c00c |
14 | 571b6cd3b044 |
15 | 28a518ad18ac |
hex | 144a81854cb4 |
22310233132212 has 72 divisors (see below), whose sum is σ = 59713704577800. Its totient is φ = 6999169056768.
The previous prime is 22310233132211. The next prime is 22310233132223. The reversal of 22310233132212 is 21223133201322.
22310233132212 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 0 + 2 + 331 + 322 + 1 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3658666119696 + 18651567012516 = 1912764^2 + 4318746^2 .
It is a super-3 number, since 3×223102331322123 (a number of 41 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22310233132211) 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 23 ways as a sum of consecutive naturals, for example, 39665364 + ... + 40223892.
It is an arithmetic number, because the mean of its divisors is an integer number (829357008025).
Almost surely, 222310233132212 is an apocalyptic number.
It is an amenable number.
22310233132212 is an abundant number, since it is smaller than the sum of its proper divisors (37403471445588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22310233132212 is a wasteful number, since it uses less digits than its factorization.
22310233132212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 623825 (or 623820 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 22310233132212 its reverse (21223133201322), we get a palindrome (43533366333534).
The spelling of 22310233132212 in words is "twenty-two trillion, three hundred ten billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred twelve".
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