Base | Representation |
---|---|
bin | 1101100000010110101… |
… | …0101110011010101000 |
3 | 211011220002210220102220 |
4 | 3120011222232122220 |
5 | 12300140432221412 |
6 | 254331240554040 |
7 | 22522516452444 |
oct | 3300552563250 |
9 | 734802726386 |
10 | 232023320232 |
11 | 8a44512a710 |
12 | 38b74182920 |
13 | 18b58935082 |
14 | b331135824 |
15 | 607ea1a68c |
hex | 3605aae6a8 |
232023320232 has 128 divisors (see below), whose sum is σ = 643930560000. Its totient is φ = 69073898240.
The previous prime is 232023320213. The next prime is 232023320261.
232023320232 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2320233202322 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30353803 + ... + 30361445.
It is an arithmetic number, because the mean of its divisors is an integer number (5030707500).
Almost surely, 2232023320232 is an apocalyptic number.
232023320232 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 232023320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280000).
232023320232 is an abundant number, since it is smaller than the sum of its proper divisors (411907239768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232023320232 is a wasteful number, since it uses less digits than its factorization.
232023320232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9671 (or 9667 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 24.
It can be divided in two parts, 232023 and 320232, that added together give a palindrome (552255).
The spelling of 232023320232 in words is "two hundred thirty-two billion, twenty-three million, three hundred twenty thousand, two hundred thirty-two".
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