Base | Representation |
---|---|
bin | 11111000010001110… |
… | …000010100000000000 |
3 | 10012000100112112121100 |
4 | 133002032002200000 |
5 | 1021221221344412 |
6 | 23150344254400 |
7 | 2256531535434 |
oct | 370216024000 |
9 | 105010475540 |
10 | 33323231232 |
11 | 13150105925 |
12 | 655ba71400 |
13 | 31b0a1c505 |
14 | 18819509c4 |
15 | d00769edc |
hex | 7c2382800 |
33323231232 has 144 divisors (see below), whose sum is σ = 96420935520. Its totient is φ = 11087290368.
The previous prime is 33323231213. The next prime is 33323231239. The reversal of 33323231232 is 23213232333.
33323231232 is a `hidden beast` number, since 3 + 332 + 323 + 1 + 2 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×333232312322 (a number of 22 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 33323231196 and 33323231205.
It is not an unprimeable number, because it can be changed into a prime (33323231239) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12587733 + ... + 12590379.
It is an arithmetic number, because the mean of its divisors is an integer number (669589830).
Almost surely, 233323231232 is an apocalyptic number.
33323231232 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 33323231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48210467760).
33323231232 is an abundant number, since it is smaller than the sum of its proper divisors (63097704288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33323231232 is a wasteful number, since it uses less digits than its factorization.
33323231232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3358 (or 3335 counting only the distinct ones).
The product of its digits is 11664, while the sum is 27.
Adding to 33323231232 its reverse (23213232333), we get a palindrome (56536463565).
The spelling of 33323231232 in words is "thirty-three billion, three hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".
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