Search a number
-
+
233043331444 = 227211357130269
BaseRepresentation
bin1101100100001001110…
…1110000100101110100
3211021112012010211202221
43121002131300211310
512304233043101234
6255020355212124
722560013430200
oct3310235604564
9737465124687
10233043331444
118a918981190
12391b98a7044
1318c8c05a7c1
14b3ca7b1b00
1560de350eb4
hex3642770974

233043331444 has 72 divisors (see below), whose sum is σ = 517699818720. Its totient is φ = 90767678400.

The previous prime is 233043331439. The next prime is 233043331447. The reversal of 233043331444 is 444133340332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233043331447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7683942 + ... + 7714210.

It is an arithmetic number, because the mean of its divisors is an integer number (7190275260).

Almost surely, 2233043331444 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 233043331444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258849909360).

233043331444 is an abundant number, since it is smaller than the sum of its proper divisors (284656487276).

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

233043331444 is a wasteful number, since it uses less digits than its factorization.

233043331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33869 (or 33860 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 233043331444 its reverse (444133340332), we get a palindrome (677176671776).

The spelling of 233043331444 in words is "two hundred thirty-three billion, forty-three million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 3571 7142 14284 24997 30269 39281 49994 60538 78562 99988 121076 157124 174979 211883 274967 332959 349958 423766 549934 665918 699916 847532 1099868 1331836 1483181 1924769 2330713 2966362 3849538 4661426 5932724 7699076 9322852 16314991 32629982 65259964 108090599 216181198 432362396 756634193 1188996589 1513268386 2377993178 3026536772 4755986356 5296439351 8322976123 10592878702 16645952246 21185757404 33291904492 58260832861 116521665722 233043331444