Base | Representation |
---|---|
bin | 1101100001000110000… |
… | …1011110011110011000 |
3 | 211012101222002011200122 |
4 | 3120101201132132120 |
5 | 12301042342102412 |
6 | 254403104052412 |
7 | 22530453214610 |
oct | 3302141363630 |
9 | 735358064618 |
10 | 232222222232 |
11 | 8a537432730 |
12 | 3900a904108 |
13 | 18b8abc6670 |
14 | b34d70da40 |
15 | 6092209572 |
hex | 361185e798 |
232222222232 has 128 divisors (see below), whose sum is σ = 587998172160. Its totient is φ = 83033233920.
The previous prime is 232222222091. The next prime is 232222222259.
232222222232 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a congruent number.
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, 1301573 + ... + 1469195.
It is an arithmetic number, because the mean of its divisors is an integer number (4593735720).
Almost surely, 2232222222232 is an apocalyptic number.
232222222232 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 232222222232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293999086080).
232222222232 is an abundant number, since it is smaller than the sum of its proper divisors (355775949928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232222222232 is a wasteful number, since it uses less digits than its factorization.
232222222232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 167833 (or 167829 counting only the distinct ones).
The product of its digits is 9216, while the sum is 26.
It can be divided in two parts, 232222 and 222232, that added together give a palindrome (454454).
The spelling of 232222222232 in words is "two hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred thirty-two".
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