Base | Representation |
---|---|
bin | 1111111000010… |
… | …10100000111110 |
3 | 100021122212211000 |
4 | 13330022200332 |
5 | 233100242342 |
6 | 21115111130 |
7 | 3205166553 |
oct | 774124076 |
9 | 307585730 |
10 | 133212222 |
11 | 69216350 |
12 | 387424a6 |
13 | 217a1900 |
14 | 13998a2a |
15 | ba6544c |
hex | 7f0a83e |
133212222 has 96 divisors (see below), whose sum is σ = 349954560. Its totient is φ = 37234080.
The previous prime is 133212203. The next prime is 133212229. The reversal of 133212222 is 222212331.
133212222 is digitally balanced in base 3, 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 (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 = 133212195 and 133212204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133212229) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99723 + ... + 101049.
It is an arithmetic number, because the mean of its divisors is an integer number (3645360).
Almost surely, 2133212222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 133212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174977280).
133212222 is an abundant number, since it is smaller than the sum of its proper divisors (216742338).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133212222 is a wasteful number, since it uses less digits than its factorization.
133212222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1375 (or 1356 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 133212222 is about 11541.7599177942. The cubic root of 133212222 is about 510.7182268094.
Adding to 133212222 its reverse (222212331), we get a palindrome (355424553).
The spelling of 133212222 in words is "one hundred thirty-three million, two hundred twelve thousand, two hundred twenty-two".
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