Search a number
-
+
230113024 = 282393761
BaseRepresentation
bin11011011011100…
…11111100000000
3121000222221201121
431231303330000
5432402104044
634500042024
75462633311
oct1555637400
9530887647
10230113024
11108990359
1265093314
133889b86b
14227c0608
1515306984
hexdb73f00

230113024 has 36 divisors (see below), whose sum is σ = 461371680. Its totient is φ = 114544640.

The previous prime is 230112983. The next prime is 230113097. The reversal of 230113024 is 420311032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 230112989 and 230113007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59304 + ... + 63064.

It is an arithmetic number, because the mean of its divisors is an integer number (12815880).

Almost surely, 2230113024 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 230113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230685840).

230113024 is an abundant number, since it is smaller than the sum of its proper divisors (231258656).

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

230113024 is an equidigital number, since it uses as much as digits as its factorization.

230113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 230113024 is about 15169.4767213639. The cubic root of 230113024 is about 612.7929119064.

Adding to 230113024 its reverse (420311032), we get a palindrome (650424056).

The spelling of 230113024 in words is "two hundred thirty million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 956 1912 3761 3824 7522 7648 15044 15296 30088 30592 60176 61184 120352 240704 481408 898879 962816 1797758 3595516 7191032 14382064 28764128 57528256 115056512 230113024