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258230016 = 28321123443
BaseRepresentation
bin11110110010001…
…00011100000000
3122222220102222200
433121010130000
51012101330031
641342433200
76253630122
oct1731043400
9588812880
10258230016
11122845040
1272592800
1341664735
142641d212
1517a0c8e6
hexf644700

258230016 has 216 divisors, whose sum is σ = 849453696. Its totient is φ = 74680320.

The previous prime is 258229999. The next prime is 258230057. The reversal of 258230016 is 610032852.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 582691 + ... + 583133.

It is an arithmetic number, because the mean of its divisors is an integer number (3932656).

Almost surely, 2258230016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424726848).

258230016 is an abundant number, since it is smaller than the sum of its proper divisors (591223680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258230016 is a wasteful number, since it uses less digits than its factorization.

258230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 258230016 is about 16069.5368943850. The cubic root of 258230016 is about 636.7988064252.

Adding to 258230016 its reverse (610032852), we get a palindrome (868262868).

The spelling of 258230016 in words is "two hundred fifty-eight million, two hundred thirty thousand, sixteen".