Base | Representation |
---|---|
bin | 1101100100101111101… |
… | …1000010000111001100 |
3 | 211021221020201001120102 |
4 | 3121023323002013030 |
5 | 12310044203002312 |
6 | 255044224110232 |
7 | 22563651203540 |
oct | 3311373020714 |
9 | 737836631512 |
10 | 233202000332 |
11 | 8a99a4a44a4 |
12 | 39242a65378 |
13 | 18cb5ba3412 |
14 | b4038b5a20 |
15 | 60ed243ec2 |
hex | 364bec21cc |
233202000332 has 96 divisors (see below), whose sum is σ = 490675261440. Its totient is φ = 94874976000.
The previous prime is 233202000331. The next prime is 233202000349. The reversal of 233202000332 is 233000202332.
233202000332 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2332020003322 (a number of 24 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (233202000331) 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, 20061482 + ... + 20073102.
It is an arithmetic number, because the mean of its divisors is an integer number (5111200640).
Almost surely, 2233202000332 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 233202000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245337630720).
233202000332 is an abundant number, since it is smaller than the sum of its proper divisors (257473261108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233202000332 is a wasteful number, since it uses less digits than its factorization.
233202000332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12103 (or 12101 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 20.
Adding to 233202000332 its reverse (233000202332), we get a palindrome (466202202664).
It can be divided in two parts, 233202000 and 332, that added together give a palindrome (233202332).
The spelling of 233202000332 in words is "two hundred thirty-three billion, two hundred two million, three hundred thirty-two", and thus it is an aban number.
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