Base | Representation |
---|---|
bin | 110100110011011101000101… |
… | …011111000001110111000000 |
3 | 1010110021101102121210020202122 |
4 | 310303131011133001313000 |
5 | 220414411413130032000 |
6 | 2141530552321103412 |
7 | 66626243333163200 |
oct | 6463350537016700 |
9 | 1113241377706678 |
10 | 232234342424000 |
11 | 67aa7038a63884 |
12 | 220686a3487b68 |
13 | 9c777b219abb7 |
14 | 414c2b8998400 |
15 | 1bcae35258085 |
hex | d337457c1dc0 |
232234342424000 has 672 divisors, whose sum is σ = 711208734844608. Its totient is φ = 74640384000000.
The previous prime is 232234342423991. The next prime is 232234342424041. The reversal of 232234342424000 is 424243432232.
232234342424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2322343424240002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1672594580 + ... + 1672733420.
It is an arithmetic number, because the mean of its divisors is an integer number (1058346331614).
Almost surely, 2232234342424000 is an apocalyptic number.
232234342424000 is a gapful number since it is divisible by the number (20) 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 232234342424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355604367422304).
232234342424000 is an abundant number, since it is smaller than the sum of its proper divisors (478974392420608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232234342424000 is a wasteful number, since it uses less digits than its factorization.
232234342424000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 139150 (or 139123 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 35.
Adding to 232234342424000 its reverse (424243432232), we get a palindrome (232658585856232).
The spelling of 232234342424000 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, three hundred forty-two million, four hundred twenty-four thousand".
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