Search a number
-
+
132223303036220 = 2251110152156320287
BaseRepresentation
bin11110000100000110100011…
…000000100010110100111100
3122100011102110022220201100212
4132010012203000202310330
5114312321311034124340
61145114314042011552
736564550465536614
oct3604064300426474
9570142408821325
10132223303036220
1139148651567230
12129b59187a6bb8
1358a17b0c19646
1424918db981a44
151044671718a65
hex7841a3022d3c

132223303036220 has 192 divisors, whose sum is σ = 307057388101632. Its totient is φ = 47427045120000.

The previous prime is 132223303036213. The next prime is 132223303036243. The reversal of 132223303036220 is 22630303322231.

132223303036220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6517626917 + ... + 6517647203.

It is an arithmetic number, because the mean of its divisors is an integer number (1599257229696).

Almost surely, 2132223303036220 is an apocalyptic number.

132223303036220 is a gapful number since it is divisible by the number (10) 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 132223303036220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153528694050816).

132223303036220 is an abundant number, since it is smaller than the sum of its proper divisors (174834085065412).

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

132223303036220 is a wasteful number, since it uses less digits than its factorization.

132223303036220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21492 (or 21490 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 132223303036220 its reverse (22630303322231), we get a palindrome (154853606358451).

The spelling of 132223303036220 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, three hundred three million, thirty-six thousand, two hundred twenty".