Base | Representation |
---|---|
bin | 1101100001000011101… |
… | …1010010101000001000 |
3 | 211012101021020121112220 |
4 | 3120100323102220020 |
5 | 12301032311242412 |
6 | 254402105334040 |
7 | 22530302144130 |
oct | 3302073225010 |
9 | 735337217486 |
10 | 232212212232 |
11 | 8a531816000 |
12 | 39007497320 |
13 | 18b88b003a0 |
14 | b34c265ac0 |
15 | 60913cd68c |
hex | 3610ed2a08 |
232212212232 has 1024 divisors, whose sum is σ = 861343580160. Its totient is φ = 50582568960.
The previous prime is 232212212231. The next prime is 232212212233.
232212212232 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (232212212231) and next prime (232212212233).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (232212212231) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1828442553 + ... + 1828442679.
It is an arithmetic number, because the mean of its divisors is an integer number (841155840).
Almost surely, 2232212212232 is an apocalyptic number.
232212212232 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 232212212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430671790080).
232212212232 is an abundant number, since it is smaller than the sum of its proper divisors (629131367928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232212212232 is a wasteful number, since it uses less digits than its factorization.
232212212232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 243 (or 217 counting only the distinct ones).
The product of its digits is 2304, while the sum is 24.
It can be divided in two parts, 232212 and 212232, that added together give a palindrome (444444).
The spelling of 232212212232 in words is "two hundred thirty-two billion, two hundred twelve million, two hundred twelve thousand, two hundred thirty-two".
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