Base | Representation |
---|---|
bin | 1001101010110001010… |
… | …11001110111001010000 |
3 | 1011202110121022011211111 |
4 | 10311120223032321100 |
5 | 20420321223210000 |
6 | 412335523223104 |
7 | 33000142123531 |
oct | 4653053167120 |
9 | 1152417264744 |
10 | 332200210000 |
11 | 1189813a36aa |
12 | 54471217a94 |
13 | 25431c99ac9 |
14 | 12115880688 |
15 | 8994546cba |
hex | 4d58acee50 |
332200210000 has 100 divisors (see below), whose sum is σ = 804794074084. Its totient is φ = 132796800000.
The previous prime is 332200209983. The next prime is 332200210003. The reversal of 332200210000 is 12002233.
It is a happy number.
It can be written as a sum of positive squares in 10 ways, for example, as 331181834256 + 1018375744 = 575484^2 + 31912^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is a super-2 number, since 2×3322002100002 (a number of 24 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (332200210003) 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 19 ways as a sum of consecutive naturals, for example, 17400460 + ... + 17419540.
Almost surely, 2332200210000 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 332200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402397037042).
332200210000 is an abundant number, since it is smaller than the sum of its proper divisors (472593864084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332200210000 is a wasteful number, since it uses less digits than its factorization.
332200210000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20850 (or 20829 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
Adding to 332200210000 its reverse (12002233), we get a palindrome (332212212233).
The spelling of 332200210000 in words is "three hundred thirty-two billion, two hundred million, two hundred ten thousand".
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