| Base | Representation |
|---|---|
| bin | 111111010111… |
| … | …0011011100000 |
| 3 | 2022111202201020 |
| 4 | 1332232123200 |
| 5 | 32001022240 |
| 6 | 3144005440 |
| 7 | 552240150 |
| oct | 176563340 |
| 9 | 68452636 |
| 10 | 33220320 |
| 11 | 1782aa11 |
| 12 | b160880 |
| 13 | 6b619c3 |
| 14 | 45aa760 |
| 15 | 2db30d0 |
| hex | 1fae6e0 |
33220320 has 96 divisors (see below), whose sum is σ = 119605248. Its totient is φ = 7592448.
The previous prime is 33220301. The next prime is 33220321. The reversal of 33220320 is 2302233.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×332203202 = 2207179321804800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 33220320.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33220321) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584 + ... + 8303.
It is an arithmetic number, because the mean of its divisors is an integer number (1245888).
Almost surely, 233220320 is an apocalyptic number.
33220320 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 33220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59802624).
33220320 is an abundant number, since it is smaller than the sum of its proper divisors (86384928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33220320 is a wasteful number, since it uses less digits than its factorization.
33220320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9912 (or 9904 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 15.
The square root of 33220320 is about 5763.7071403742. The cubic root of 33220320 is about 321.4656724723.
Adding to 33220320 its reverse (2302233), we get a palindrome (35522553).
The spelling of 33220320 in words is "thirty-three million, two hundred twenty thousand, three hundred twenty".
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