| Base | Representation |
|---|---|
| bin | 1000010011110001… |
| … | …1011000100000000 |
| 3 | 12202102221200111121 |
| 4 | 2010330123010000 |
| 5 | 14031442311000 |
| 6 | 1005153522024 |
| 7 | 106162234126 |
| oct | 20474330400 |
| 9 | 5672850447 |
| 10 | 2230432000 |
| 11 | a45025635 |
| 12 | 522b73314 |
| 13 | 297128164 |
| 14 | 17231d916 |
| 15 | d0c2db1a |
| hex | 84f1b100 |
2230432000 has 144 divisors (see below), whose sum is σ = 5678330112. Its totient is φ = 872601600.
The previous prime is 2230431997. The next prime is 2230432003. The reversal of 2230432000 is 2340322.
It is an interprime number because it is at equal distance from previous prime (2230431997) and next prime (2230432003).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (2230432003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503259 + ... + 1504741.
It is an arithmetic number, because the mean of its divisors is an integer number (39432848).
Almost surely, 22230432000 is an apocalyptic number.
2230432000 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 2230432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839165056).
2230432000 is an abundant number, since it is smaller than the sum of its proper divisors (3447898112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2230432000 is an equidigital number, since it uses as much as digits as its factorization.
2230432000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1561 (or 1537 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 16.
The square root of 2230432000 is about 47227.4496453069. The cubic root of 2230432000 is about 1306.5609151307.
Adding to 2230432000 its reverse (2340322), we get a palindrome (2232772322).
The spelling of 2230432000 in words is "two billion, two hundred thirty million, four hundred thirty-two thousand".
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