Base | Representation |
---|---|
bin | 11011101011000… |
… | …00111011100000 |
3 | 121011210112200100 |
4 | 31311200323200 |
5 | 433411213240 |
6 | 35011222400 |
7 | 5516043420 |
oct | 1565407340 |
9 | 534715610 |
10 | 232132320 |
11 | 10a03a4a2 |
12 | 658a7a00 |
13 | 39127a04 |
14 | 22b88480 |
15 | 155a4e30 |
hex | dd60ee0 |
232132320 has 144 divisors (see below), whose sum is σ = 905355360. Its totient is φ = 53056512.
The previous prime is 232132301. The next prime is 232132321. The reversal of 232132320 is 23231232.
It is a happy number.
232132320 is a `hidden beast` number, since 2 + 321 + 323 + 20 = 666.
232132320 is digitally balanced in base 2, 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 232132293 and 232132302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232132321) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435 + ... + 21594.
It is an arithmetic number, because the mean of its divisors is an integer number (6287190).
Almost surely, 2232132320 is an apocalyptic number.
232132320 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 232132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452677680).
232132320 is an abundant number, since it is smaller than the sum of its proper divisors (673223040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232132320 is a wasteful number, since it uses less digits than its factorization.
232132320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23057 (or 23046 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 232132320 is about 15235.8892093635. The cubic root of 232132320 is about 614.5801616026.
Adding to 232132320 its reverse (23231232), we get a palindrome (255363552).
The spelling of 232132320 in words is "two hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty".
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