Search a number
-
+
233123132200 = 235271061156943
BaseRepresentation
bin1101100100011100111…
…0001011001100101000
3211021201202022010211111
43121013032023030220
512304414010212300
6255032325440104
722562002633360
oct3310716131450
9737652263744
10233123132200
118a959a26722
1239220570034
1318ca274b29a
14b3d72259a0
1560e63659ba
hex364738b328

233123132200 has 96 divisors (see below), whose sum is σ = 620029244160. Its totient is φ = 79852089600.

The previous prime is 233123132167. The next prime is 233123132227. The reversal of 233123132200 is 2231321332.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1406929 + ... + 1563871.

It is an arithmetic number, because the mean of its divisors is an integer number (6458637960).

Almost surely, 2233123132200 is an apocalyptic number.

233123132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233123132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310014622080).

233123132200 is an abundant number, since it is smaller than the sum of its proper divisors (386906111960).

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

233123132200 is a wasteful number, since it uses less digits than its factorization.

233123132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158027 (or 158018 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233123132200 its reverse (2231321332), we get a palindrome (235354453532).

The spelling of 233123132200 in words is "two hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1061 1400 2122 4244 5305 7427 8488 10610 14854 21220 26525 29708 37135 42440 53050 59416 74270 106100 148540 156943 185675 212200 297080 313886 371350 627772 742700 784715 1098601 1255544 1485400 1569430 2197202 3138860 3923575 4394404 5493005 6277720 7847150 8788808 10986010 15694300 21972020 27465025 31388600 43944040 54930050 109860100 166516523 219720200 333033046 666066092 832582615 1165615661 1332132184 1665165230 2331231322 3330330460 4162913075 4662462644 5828078305 6660660920 8325826150 9324925288 11656156610 16651652300 23312313220 29140391525 33303304600 46624626440 58280783050 116561566100 233123132200