Base | Representation |
---|---|
bin | 11110110110110100… |
… | …101011010011000100 |
3 | 10011112000202200020111 |
4 | 132312310223103010 |
5 | 1020323300030340 |
6 | 23115354242404 |
7 | 2252020431016 |
oct | 366664532304 |
9 | 104460680214 |
10 | 33132033220 |
11 | 13062194a40 |
12 | 6507a26404 |
13 | 31802276b0 |
14 | 18643c01b6 |
15 | cdda9daea |
hex | 7b6d2b4c4 |
33132033220 has 96 divisors (see below), whose sum is σ = 82109260800. Its totient is φ = 11071157760.
The previous prime is 33132033197. The next prime is 33132033223. The reversal of 33132033220 is 2233023133.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 33132033191 and 33132033200.
It is not an unprimeable number, because it can be changed into a prime (33132033223) 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 31 ways as a sum of consecutive naturals, for example, 611806 + ... + 663754.
It is an arithmetic number, because the mean of its divisors is an integer number (855304800).
Almost surely, 233132033220 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 33132033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41054630400).
33132033220 is an abundant number, since it is smaller than the sum of its proper divisors (48977227580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33132033220 is a wasteful number, since it uses less digits than its factorization.
33132033220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52205 (or 52203 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 22.
Adding to 33132033220 its reverse (2233023133), we get a palindrome (35365056353).
The spelling of 33132033220 in words is "thirty-three billion, one hundred thirty-two million, thirty-three thousand, two hundred twenty".
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