Base | Representation |
---|---|
bin | 111111010111… |
… | …0110110010000 |
3 | 2022111212001122 |
4 | 1332232312100 |
5 | 32001101112 |
6 | 3144021412 |
7 | 552245144 |
oct | 176566620 |
9 | 68455048 |
10 | 33222032 |
11 | 17831228 |
12 | b161868 |
13 | 6b6270c |
14 | 45ab224 |
15 | 2db3872 |
hex | 1faed90 |
33222032 has 40 divisors (see below), whose sum is σ = 68477760. Its totient is φ = 15569280.
The previous prime is 33221999. The next prime is 33222047. The reversal of 33222032 is 23022233.
It is a super-2 number, since 2×332220322 = 2207406820418048, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 33222032.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30782 + ... + 31842.
It is an arithmetic number, because the mean of its divisors is an integer number (1711944).
Almost surely, 233222032 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 33222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34238880).
33222032 is an abundant number, since it is smaller than the sum of its proper divisors (35255728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33222032 is a wasteful number, since it uses less digits than its factorization.
33222032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 17.
The square root of 33222032 is about 5763.8556539872. The cubic root of 33222032 is about 321.4711945923.
Adding to 33222032 its reverse (23022233), we get a palindrome (56244265).
The spelling of 33222032 in words is "thirty-three million, two hundred twenty-two thousand, thirty-two".
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