Search a number
-
+
33220333020 = 22357219976131
BaseRepresentation
bin11110111100000101…
…100000110111011100
310011202011220202210110
4132330011200313130
51021013401124040
623132231010020
72254142112600
oct367405406734
9104664822713
1033220333020
11130a8014986
126531509910
1331956027b4
141872007500
15ce66e1980
hex7bc160ddc

33220333020 has 288 divisors, whose sum is σ = 115091262720. Its totient is φ = 7118254080.

The previous prime is 33220333007. The next prime is 33220333021. The reversal of 33220333020 is 2033302233.

It is a super-2 number, since 2×332203330202 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220333021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5415355 + ... + 5421485.

It is an arithmetic number, because the mean of its divisors is an integer number (399622440).

Almost surely, 233220333020 is an apocalyptic number.

33220333020 is a gapful number since it is divisible by the number (30) 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 33220333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57545631360).

33220333020 is an abundant number, since it is smaller than the sum of its proper divisors (81870929700).

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

33220333020 is a wasteful number, since it uses less digits than its factorization.

33220333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 33220333020 its reverse (2033302233), we get a palindrome (35253635253).

The spelling of 33220333020 in words is "thirty-three billion, two hundred twenty million, three hundred thirty-three thousand, twenty".