| Base | Representation |
|---|---|
| bin | 1000010100010001… |
| … | …0101011010100000 |
| 3 | 12202120212001112000 |
| 4 | 2011010111122200 |
| 5 | 14033010143031 |
| 6 | 1005310204000 |
| 7 | 106215662616 |
| oct | 20504253240 |
| 9 | 5676761460 |
| 10 | 2232506016 |
| 11 | a462118a4 |
| 12 | 5237b3600 |
| 13 | 2976a31a0 |
| 14 | 1726dd6b6 |
| 15 | d0edd3e6 |
| hex | 851156a0 |
2232506016 has 192 divisors, whose sum is σ = 7163251200. Its totient is φ = 672150528.
The previous prime is 2232505997. The next prime is 2232506027. The reversal of 2232506016 is 6106052322.
2232506016 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 50 + 601 + 6 = 666.
It is a super-3 number, since 3×22325060163 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 525790 + ... + 530018.
It is an arithmetic number, because the mean of its divisors is an integer number (37308600).
Almost surely, 22232506016 is an apocalyptic number.
2232506016 is a gapful number since it is divisible by the number (26) 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 2232506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581625600).
2232506016 is an abundant number, since it is smaller than the sum of its proper divisors (4930745184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232506016 is a wasteful number, since it uses less digits than its factorization.
2232506016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4308 (or 4294 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 2232506016 is about 47249.4022819337. The cubic root of 2232506016 is about 1306.9657677550.
Adding to 2232506016 its reverse (6106052322), we get a palindrome (8338558338).
The spelling of 2232506016 in words is "two billion, two hundred thirty-two million, five hundred six thousand, sixteen".
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