Base | Representation |
---|---|
bin | 111111010111… |
… | …0100110000000 |
3 | 2022111210122010 |
4 | 1332232212000 |
5 | 32001032432 |
6 | 3144012520 |
7 | 552242130 |
oct | 176564600 |
9 | 68453563 |
10 | 33220992 |
11 | 17830472 |
12 | b161140 |
13 | 6b620bc |
14 | 45aaac0 |
15 | 2db33cc |
hex | 1fae980 |
33220992 has 128 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 8921088.
The previous prime is 33220981. The next prime is 33221003. The reversal of 33220992 is 29902233.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (33220981) and next prime (33221003).
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×332209922 = 2207268618928128, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45333 + ... + 46059.
It is an arithmetic number, because the mean of its divisors is an integer number (835380).
Almost surely, 233220992 is an apocalyptic number.
33220992 is a gapful number since it is divisible by the number (32) 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 33220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).
33220992 is an abundant number, since it is smaller than the sum of its proper divisors (73707648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33220992 is a wasteful number, since it uses less digits than its factorization.
33220992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 768 (or 756 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 30.
The square root of 33220992 is about 5763.7654358934. The cubic root of 33220992 is about 321.4678400560.
The spelling of 33220992 in words is "thirty-three million, two hundred twenty thousand, nine hundred ninety-two".
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