Search a number
-
+
258230830 = 251113892029
BaseRepresentation
bin11110110010001…
…00101000101110
3122222220111002211
433121010220232
51012101341310
641342441034
76253632364
oct1731045056
9588814084
10258230830
11122845710
127259317a
1341664c10
142641d634
1517a0cc8a
hexf644a2e

258230830 has 64 divisors (see below), whose sum is σ = 552484800. Its totient is φ = 85662720.

The previous prime is 258230813. The next prime is 258230879. The reversal of 258230830 is 38032852.

258230830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 258230792 and 258230801.

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, 126256 + ... + 128284.

It is an arithmetic number, because the mean of its divisors is an integer number (8632575).

Almost surely, 2258230830 is an apocalyptic number.

258230830 is an abundant number, since it is smaller than the sum of its proper divisors (294253970).

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

258230830 is a wasteful number, since it uses less digits than its factorization.

258230830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 258230830 is about 16069.5622217906. The cubic root of 258230830 is about 636.7994755363.

The spelling of 258230830 in words is "two hundred fifty-eight million, two hundred thirty thousand, eight hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 89 110 130 143 178 286 445 715 890 979 1157 1430 1958 2029 2314 4058 4895 5785 9790 10145 11570 12727 20290 22319 25454 26377 44638 52754 63635 111595 127270 131885 180581 223190 263770 290147 361162 580294 902905 1450735 1805810 1986391 2347553 2901470 3972782 4695106 9931955 11737765 19863910 23475530 25823083 51646166 129115415 258230830