Search a number
-
+
233910064 = 24194331777
BaseRepresentation
bin11011111000100…
…10111100110000
3121022010212021201
431330102330300
5434340110224
635113300544
75540126353
oct1574227460
9538125251
10233910064
11110044103
1266404754
13395cac2b
14230cc29a
1515806a44
hexdf12f30

233910064 has 40 divisors (see below), whose sum is σ = 478424240. Its totient is φ = 110481408.

The previous prime is 233910049. The next prime is 233910071. The reversal of 233910064 is 460019332.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130744 + ... + 132520.

It is an arithmetic number, because the mean of its divisors is an integer number (11960606).

Almost surely, 2233910064 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 233910064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239212120).

233910064 is an abundant number, since it is smaller than the sum of its proper divisors (244514176).

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

233910064 is a wasteful number, since it uses less digits than its factorization.

233910064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 233910064 is about 15294.1186081448. The cubic root of 233910064 is about 616.1450577597.

Adding to 233910064 its reverse (460019332), we get a palindrome (693929396).

It can be divided in two parts, 2339 and 10064, that added together give a triangular number (12403 = T157).

The spelling of 233910064 in words is "two hundred thirty-three million, nine hundred ten thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 433 866 1732 1777 3464 3554 6928 7108 8227 14216 16454 28432 32908 33763 65816 67526 131632 135052 270104 540208 769441 1538882 3077764 6155528 12311056 14619379 29238758 58477516 116955032 233910064