Search a number
-
+
230113016 = 23721573739
BaseRepresentation
bin11011011011100…
…11111011111000
3121000222221201022
431231303323320
5432402104031
634500042012
75462633300
oct1555637370
9530887638
10230113016
11108990351
1265093308
133889b863
14227c0600
151530697b
hexdb73ef8

230113016 has 48 divisors (see below), whose sum is σ = 505236600. Its totient is φ = 97965504.

The previous prime is 230112983. The next prime is 230113097. The reversal of 230113016 is 610311032.

It is a super-3 number, since 3×2301130163 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230112985 and 230113003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59675 + ... + 63413.

Almost surely, 2230113016 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 230113016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252618300).

230113016 is an abundant number, since it is smaller than the sum of its proper divisors (275123584).

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

230113016 is a wasteful number, since it uses less digits than its factorization.

230113016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 230113016 is about 15169.4764576764. The cubic root of 230113016 is about 612.7929048051.

Adding to 230113016 its reverse (610311032), we get a palindrome (840424048).

The spelling of 230113016 in words is "two hundred thirty million, one hundred thirteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 157 196 314 392 628 1099 1256 2198 3739 4396 7478 7693 8792 14956 15386 26173 29912 30772 52346 61544 104692 183211 209384 366422 587023 732844 1174046 1465688 2348092 4109161 4696184 8218322 16436644 28764127 32873288 57528254 115056508 230113016