Search a number
-
+
233321342020 = 225139721534297
BaseRepresentation
bin1101100101001100001…
…0010010010001000100
3211022020120021020120221
43121103002102101010
512310320230421040
6255104130034124
722566630453514
oct3312302222104
9738216236527
10233321342020
118aa508a6698
1239276a18944
13190048297c0
14b41569d844
15610896974a
hex3653092444

233321342020 has 96 divisors (see below), whose sum is σ = 533476768608. Its totient is φ = 85201846272.

The previous prime is 233321341973. The next prime is 233321342041. The reversal of 233321342020 is 20243123332.

It can be written as a sum of positive squares in 16 ways, for example, as 148077196864 + 85244145156 = 384808^2 + 291966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54296512 + ... + 54300808.

It is an arithmetic number, because the mean of its divisors is an integer number (5557049673).

Almost surely, 2233321342020 is an apocalyptic number.

233321342020 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 233321342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266738384304).

233321342020 is an abundant number, since it is smaller than the sum of its proper divisors (300155426588).

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

233321342020 is a wasteful number, since it uses less digits than its factorization.

233321342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6567 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 233321342020 its reverse (20243123332), we get a palindrome (253564465352).

The spelling of 233321342020 in words is "two hundred thirty-three billion, three hundred twenty-one million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2153 2522 4297 4306 5044 6305 8594 8612 10765 12610 17188 21485 21530 25220 27989 42970 43060 55861 55978 85940 111722 111956 139945 208841 223444 279305 279890 416809 417682 558610 559780 833618 835364 1044205 1117220 1667236 2084045 2088410 2714933 4168090 4176820 5418517 5429866 8336180 9251441 10837034 10859732 13574665 18502882 21674068 27092585 27149330 37005764 46257205 54185170 54298660 92514410 108370340 120268733 185028820 240537466 481074932 601343665 897389777 1202687330 1794779554 2405374660 3589559108 4486948885 8973897770 11666067101 17947795540 23332134202 46664268404 58330335505 116660671010 233321342020