Base | Representation |
---|---|
bin | 111110111111… |
… | …0000111101100 |
3 | 2022010201021111 |
4 | 1331332013230 |
5 | 31423204234 |
6 | 3135441404 |
7 | 550454230 |
oct | 175760754 |
9 | 68121244 |
10 | 33022444 |
11 | 17705284 |
12 | b086264 |
13 | 6ac2910 |
14 | 45585c0 |
15 | 2d74664 |
hex | 1f7e1ec |
33022444 has 48 divisors (see below), whose sum is σ = 71604288. Its totient is φ = 12976128.
The previous prime is 33022433. The next prime is 33022459. The reversal of 33022444 is 44422033.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93372 + ... + 93724.
It is an arithmetic number, because the mean of its divisors is an integer number (1491756).
Almost surely, 233022444 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 33022444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35802144).
33022444 is an abundant number, since it is smaller than the sum of its proper divisors (38581844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33022444 is a wasteful number, since it uses less digits than its factorization.
33022444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 634 (or 632 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 33022444 is about 5746.5158139520. The cubic root of 33022444 is about 320.8261335915.
Adding to 33022444 its reverse (44422033), we get a palindrome (77444477).
The spelling of 33022444 in words is "thirty-three million, twenty-two thousand, four hundred forty-four".
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