Base | Representation |
---|---|
bin | 10101101000111000… |
… | …010111011111100000 |
3 | 2012222020201000020112 |
4 | 111220320113133200 |
5 | 340041004140412 |
6 | 14401310430452 |
7 | 1451525336360 |
oct | 255070273740 |
9 | 65866630215 |
10 | 23234443232 |
11 | 9943268100 |
12 | 4605202428 |
13 | 2263815980 |
14 | 11a5ab89a0 |
15 | 90ebbe722 |
hex | 568e177e0 |
23234443232 has 576 divisors, whose sum is σ = 67027709952. Its totient is φ = 7694438400.
The previous prime is 23234443229. The next prime is 23234443237.
It is a happy number.
23234443232 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23234443237) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380892482 + ... + 380892542.
It is an arithmetic number, because the mean of its divisors is an integer number (116367552).
Almost surely, 223234443232 is an apocalyptic number.
23234443232 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 23234443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513854976).
23234443232 is an abundant number, since it is smaller than the sum of its proper divisors (43793266720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23234443232 is a wasteful number, since it uses less digits than its factorization.
23234443232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 183 (or 164 counting only the distinct ones).
The product of its digits is 82944, while the sum is 32.
The spelling of 23234443232 in words is "twenty-three billion, two hundred thirty-four million, four hundred forty-three thousand, two hundred thirty-two".
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