Base | Representation |
---|---|
bin | 11011101011100… |
… | …01111110000000 |
3 | 121011221002102020 |
4 | 31311301332000 |
5 | 433420431422 |
6 | 35012521440 |
7 | 5516454042 |
oct | 1565617600 |
9 | 534832366 |
10 | 232202112 |
11 | 10a08797a |
12 | 65920280 |
13 | 391506cc |
14 | 22ba5a92 |
15 | 155ba95c |
hex | dd71f80 |
232202112 has 128 divisors (see below), whose sum is σ = 655672320. Its totient is φ = 72652800.
The previous prime is 232202083. The next prime is 232202119. The reversal of 232202112 is 211202232.
It is a happy number.
232202112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 232202091 and 232202100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232202119) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538537 + ... + 538967.
It is an arithmetic number, because the mean of its divisors is an integer number (5122440).
Almost surely, 2232202112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327836160).
232202112 is an abundant number, since it is smaller than the sum of its proper divisors (423470208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232202112 is a wasteful number, since it uses less digits than its factorization.
232202112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 532 (or 520 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 232202112 is about 15238.1794188151. The cubic root of 232202112 is about 614.6417478575.
Adding to 232202112 its reverse (211202232), we get a palindrome (443404344).
The spelling of 232202112 in words is "two hundred thirty-two million, two hundred two thousand, one hundred twelve".
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