Base | Representation |
---|---|
bin | 111110111100… |
… | …1001011101100 |
3 | 2022002200112110 |
4 | 1331321023230 |
5 | 31422032340 |
6 | 3135204020 |
7 | 550341246 |
oct | 175711354 |
9 | 68080473 |
10 | 33002220 |
11 | 176a1069 |
12 | b076610 |
13 | 6ab6654 |
14 | 4551096 |
15 | 2d6d680 |
hex | 1f792ec |
33002220 has 96 divisors (see below), whose sum is σ = 95993856. Its totient is φ = 8467200.
The previous prime is 33002201. The next prime is 33002227. The reversal of 33002220 is 2220033.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 33002196 and 33002205.
It is not an unprimeable number, because it can be changed into a prime (33002227) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259797 + ... + 259923.
It is an arithmetic number, because the mean of its divisors is an integer number (999936).
Almost surely, 233002220 is an apocalyptic number.
33002220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47996928).
33002220 is an abundant number, since it is smaller than the sum of its proper divisors (62991636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33002220 is a wasteful number, since it uses less digits than its factorization.
33002220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 271 (or 269 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 12.
The square root of 33002220 is about 5744.7558694865. The cubic root of 33002220 is about 320.7606254910.
Adding to 33002220 its reverse (2220033), we get a palindrome (35222253).
The spelling of 33002220 in words is "thirty-three million, two thousand, two hundred twenty".
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