Base | Representation |
---|---|
bin | 1101100101101110000… |
… | …0000011101011101100 |
3 | 211022121110111201120120 |
4 | 3121123200003223230 |
5 | 12311113110124312 |
6 | 255130202044540 |
7 | 22603303565652 |
oct | 3313340035354 |
9 | 738543451516 |
10 | 233463364332 |
11 | 90013a8a100 |
12 | 392b64a9750 |
13 | 19028094483 |
14 | b42a4acdd2 |
15 | 611617028c |
hex | 365b803aec |
233463364332 has 72 divisors (see below), whose sum is σ = 600489414000. Its totient is φ = 70543608960.
The previous prime is 233463364283. The next prime is 233463364363.
233463364332 is nontrivially palindromic in base 10.
233463364332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
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, 276394 + ... + 737102.
It is an arithmetic number, because the mean of its divisors is an integer number (8340130750).
Almost surely, 2233463364332 is an apocalyptic number.
233463364332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233463364332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300244707000).
233463364332 is an abundant number, since it is smaller than the sum of its proper divisors (367026049668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233463364332 is a wasteful number, since it uses less digits than its factorization.
233463364332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 461087 (or 461074 counting only the distinct ones).
The product of its digits is 1679616, while the sum is 42.
It can be divided in two parts, 233463 and 364332, that added together give a palindrome (597795).
The spelling of 233463364332 in words is "two hundred thirty-three billion, four hundred sixty-three million, three hundred sixty-four thousand, three hundred thirty-two".
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