Base | Representation |
---|---|
bin | 111111010111… |
… | …0101100110000 |
3 | 2022111211020010 |
4 | 1332232230300 |
5 | 32001041144 |
6 | 3144014520 |
7 | 552243315 |
oct | 176565460 |
9 | 68454203 |
10 | 33221424 |
11 | 17830825 |
12 | b161440 |
13 | 6b62362 |
14 | 45aad0c |
15 | 2db35b9 |
hex | 1faeb30 |
33221424 has 80 divisors (see below), whose sum is σ = 91760000. Its totient is φ = 10326528.
The previous prime is 33221423. The next prime is 33221431. The reversal of 33221424 is 42412233.
It is a super-2 number, since 2×332214242 = 2207326025175552, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 33221424.
It is not an unprimeable number, because it can be changed into a prime (33221423) 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, 66327 + ... + 66825.
It is an arithmetic number, because the mean of its divisors is an integer number (1147000).
Almost surely, 233221424 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 33221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45880000).
33221424 is an abundant number, since it is smaller than the sum of its proper divisors (58538576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33221424 is a wasteful number, since it uses less digits than its factorization.
33221424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 602 (or 596 counting only the distinct ones).
The product of its digits is 1152, while the sum is 21.
The square root of 33221424 is about 5763.8029112731. The cubic root of 33221424 is about 321.4692334873.
Adding to 33221424 its reverse (42412233), we get a palindrome (75633657).
The spelling of 33221424 in words is "thirty-three million, two hundred twenty-one thousand, four hundred twenty-four".
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