Search a number
-
+
132233300220 = 2235721961151257
BaseRepresentation
bin111101100100110111…
…0000000100011111100
3110122022120021122120210
41323021232000203330
54131303211101340
6140425214312420
712360602335500
oct1731156004374
9418276248523
10132233300220
115109728369a
12217647b8710
13c614795358
146585d34300
15368de5c180
hex1ec9b808fc

132233300220 has 576 divisors, whose sum is σ = 465660195840. Its totient is φ = 27869184000.

The previous prime is 132233300219. The next prime is 132233300233. The reversal of 132233300220 is 22003332231.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 191 ways as a sum of consecutive naturals, for example, 514526332 + ... + 514526588.

It is an arithmetic number, because the mean of its divisors is an integer number (808437840).

Almost surely, 2132233300220 is an apocalyptic number.

132233300220 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 132233300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232830097920).

132233300220 is an abundant number, since it is smaller than the sum of its proper divisors (333426895620).

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

132233300220 is a wasteful number, since it uses less digits than its factorization.

132233300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 132233300220 its reverse (22003332231), we get a palindrome (154236632451).

The spelling of 132233300220 in words is "one hundred thirty-two billion, two hundred thirty-three million, three hundred thousand, two hundred twenty".