Base | Representation |
---|---|
bin | 111110111111… |
… | …0000001001000 |
3 | 2022010200200221 |
4 | 1331332001020 |
5 | 31423201044 |
6 | 3135435424 |
7 | 550453060 |
oct | 175760110 |
9 | 68120627 |
10 | 33022024 |
11 | 17704a32 |
12 | b085b74 |
13 | 6ac2679 |
14 | 45583a0 |
15 | 2d74484 |
hex | 1f7e048 |
33022024 has 32 divisors (see below), whose sum is σ = 74926080. Its totient is φ = 13319424.
The previous prime is 33021983. The next prime is 33022049. The reversal of 33022024 is 42022033.
It is a junction number, because it is equal to n+sod(n) for n = 33021989 and 33022007.
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 7 ways as a sum of consecutive naturals, for example, 16392 + ... + 18295.
It is an arithmetic number, because the mean of its divisors is an integer number (2341440).
Almost surely, 233022024 is an apocalyptic number.
33022024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.
It is an amenable number.
33022024 is an abundant number, since it is smaller than the sum of its proper divisors (41904056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33022024 is a wasteful number, since it uses less digits than its factorization.
33022024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34717 (or 34713 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 16.
The square root of 33022024 is about 5746.4792699530. The cubic root of 33022024 is about 320.8247734303.
Adding to 33022024 its reverse (42022033), we get a palindrome (75044057).
Subtracting 33022024 from its reverse (42022033), we obtain a palindrome (9000009).
The spelling of 33022024 in words is "thirty-three million, twenty-two thousand, twenty-four".
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