Base | Representation |
---|---|
bin | 110100010110010010100111… |
… | …001101101111101101000000 |
3 | 1010012011210110202002011001102 |
4 | 310112102213031233231000 |
5 | 220134043003434124440 |
6 | 2133354150354353532 |
7 | 66331404532400645 |
oct | 6426224715575500 |
9 | 1105153422064042 |
10 | 230230232333120 |
11 | 673a4103075978 |
12 | 219a41b2b8b8a8 |
13 | 9b6080527a5b6 |
14 | 40bd2ba2d7dcc |
15 | 1b93c3b50ab15 |
hex | d164a736fb40 |
230230232333120 has 224 divisors, whose sum is σ = 595957728925440. Its totient is φ = 84482989015040.
The previous prime is 230230232333119. The next prime is 230230232333149. The reversal of 230230232333120 is 21333232032032.
230230232333120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11338094 + ... + 24269586.
It is an arithmetic number, because the mean of its divisors is an integer number (2660525575560).
Almost surely, 2230230232333120 is an apocalyptic number.
230230232333120 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 230230232333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297978864462720).
230230232333120 is an abundant number, since it is smaller than the sum of its proper divisors (365727496592320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230230232333120 is a wasteful number, since it uses less digits than its factorization.
230230232333120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12931633 (or 12931623 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 29.
Adding to 230230232333120 its reverse (21333232032032), we get a palindrome (251563464365152).
The spelling of 230230232333120 in words is "two hundred thirty trillion, two hundred thirty billion, two hundred thirty-two million, three hundred thirty-three thousand, one hundred twenty".
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