| Base | Representation |
|---|---|
| bin | 11110110001111… |
| … | …01011010000000 |
| 3 | 122222211222111000 |
| 4 | 33120331122000 |
| 5 | 1012044414331 |
| 6 | 41342052000 |
| 7 | 6253450140 |
| oct | 1730753200 |
| 9 | 588758430 |
| 10 | 258201216 |
| 11 | 122825439 |
| 12 | 7257a000 |
| 13 | 416545b0 |
| 14 | 26412920 |
| 15 | 17a040e6 |
| hex | f63d680 |
258201216 has 256 divisors, whose sum is σ = 939052800. Its totient is φ = 68014080.
The previous prime is 258201211. The next prime is 258201247. The reversal of 258201216 is 612102852.
It is a happy number.
258201216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 258201216.
It is not an unprimeable number, because it can be changed into a prime (258201211) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314086 + ... + 314906.
It is an arithmetic number, because the mean of its divisors is an integer number (3668175).
Almost surely, 2258201216 is an apocalyptic number.
258201216 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 258201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469526400).
258201216 is an abundant number, since it is smaller than the sum of its proper divisors (680851584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
258201216 is a wasteful number, since it uses less digits than its factorization.
258201216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 864 (or 846 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 258201216 is about 16068.6407639228. The cubic root of 258201216 is about 636.7751318117.
The spelling of 258201216 in words is "two hundred fifty-eight million, two hundred one thousand, two hundred sixteen".
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