Base | Representation |
---|---|
bin | 1101011001101100011… |
… | …0110110101100000000 |
3 | 211000021111202212002010 |
4 | 3112123012312230000 |
5 | 12233010244011112 |
6 | 253434014252520 |
7 | 22430310506112 |
oct | 3263306665400 |
9 | 730244685063 |
10 | 230235532032 |
11 | 89707a56a00 |
12 | 387554b7140 |
13 | 1893242c52c |
14 | b20191b3b2 |
15 | 5ec7ac563c |
hex | 359b1b6b00 |
230235532032 has 216 divisors, whose sum is σ = 674867152960. Its totient is φ = 69630105600.
The previous prime is 230235532031. The next prime is 230235532061.
230235532032 is nontrivially palindromic in base 10.
It is not an unprimeable number, because it can be changed into a prime (230235532031) 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, 53059719 + ... + 53064057.
Almost surely, 2230235532032 is an apocalyptic number.
230235532032 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 230235532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337433576480).
230235532032 is an abundant number, since it is smaller than the sum of its proper divisors (444631620928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230235532032 is a wasteful number, since it uses less digits than its factorization.
230235532032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4951 (or 4926 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 30.
It can be divided in two parts, 230235 and 532032, that added together give a palindrome (762267).
The spelling of 230235532032 in words is "two hundred thirty billion, two hundred thirty-five million, five hundred thirty-two thousand, thirty-two".
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