Base | Representation |
---|---|
bin | 11110111100001000… |
… | …111100101010110100 |
3 | 10011202020121111210100 |
4 | 132330020330222310 |
5 | 1021014113431312 |
6 | 23132302154100 |
7 | 2254152552450 |
oct | 367410745264 |
9 | 104666544710 |
10 | 33221233332 |
11 | 130a857a341 |
12 | 6531882930 |
13 | 3195859521 |
14 | 187219d660 |
15 | ce681d5dc |
hex | 7bc23cab4 |
33221233332 has 72 divisors (see below), whose sum is σ = 101617903296. Its totient is φ = 8933439744.
The previous prime is 33221233291. The next prime is 33221233333. The reversal of 33221233332 is 23333212233.
33221233332 is a `hidden beast` number, since 3 + 322 + 1 + 2 + 3 + 3 + 332 = 666.
It is a super-2 number, since 2×332212333322 (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 = 33221233296 and 33221233305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33221233333) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3873078 + ... + 3881645.
It is an arithmetic number, because the mean of its divisors is an integer number (1411359768).
Almost surely, 233221233332 is an apocalyptic number.
It is an amenable number.
33221233332 is an abundant number, since it is smaller than the sum of its proper divisors (68396669964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33221233332 is a wasteful number, since it uses less digits than its factorization.
33221233332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7754757 (or 7754752 counting only the distinct ones).
The product of its digits is 11664, while the sum is 27.
Adding to 33221233332 its reverse (23333212233), we get a palindrome (56554445565).
It can be divided in two parts, 332 and 21233332, that added together give a square (21233664 = 46082).
The spelling of 33221233332 in words is "thirty-three billion, two hundred twenty-one million, two hundred thirty-three thousand, three hundred thirty-two".
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