Base | Representation |
---|---|
bin | 11110111100001000… |
… | …111010001011011100 |
3 | 10011202020120222210120 |
4 | 132330020322023130 |
5 | 1021014113120012 |
6 | 23132302034540 |
7 | 2254152510636 |
oct | 367410721334 |
9 | 104666528716 |
10 | 33221223132 |
11 | 130a8572709 |
12 | 6531878a50 |
13 | 31958549a6 |
14 | 1872199a56 |
15 | ce681a58c |
hex | 7bc23a2dc |
33221223132 has 96 divisors (see below), whose sum is σ = 86467046400. Its totient is φ = 9865654272.
The previous prime is 33221223131. The next prime is 33221223157. The reversal of 33221223132 is 23132212233.
It is a super-2 number, since 2×332212231322 (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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (33221223131) 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, 6016669 + ... + 6022187.
It is an arithmetic number, because the mean of its divisors is an integer number (900698400).
Almost surely, 233221223132 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 33221223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43233523200).
33221223132 is an abundant number, since it is smaller than the sum of its proper divisors (53245823268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33221223132 is a wasteful number, since it uses less digits than its factorization.
33221223132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7115 (or 7113 counting only the distinct ones).
The product of its digits is 2592, while the sum is 24.
Adding to 33221223132 its reverse (23132212233), we get a palindrome (56353435365).
The spelling of 33221223132 in words is "thirty-three billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred thirty-two".
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