Search a number
-
+
33322213320 = 233511374311583
BaseRepresentation
bin11111000010001010…
…001001111111001000
310012000021121211021220
4133002022021333020
51021220441311240
623150310402040
72256520065654
oct370212117710
9105007554256
1033322213320
111314a580080
12655b660320
1331b07540b6
141881767a64
15d006185d0
hex7c2289fc8

33322213320 has 256 divisors, whose sum is σ = 112332718080. Its totient is φ = 7836595200.

The previous prime is 33322213313. The next prime is 33322213321. The reversal of 33322213320 is 2331222333.

It is a super-2 number, since 2×333222133202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33322213321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21049249 + ... + 21050831.

It is an arithmetic number, because the mean of its divisors is an integer number (438799680).

Almost surely, 233322213320 is an apocalyptic number.

33322213320 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 33322213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56166359040).

33322213320 is an abundant number, since it is smaller than the sum of its proper divisors (79010504760).

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

33322213320 is a wasteful number, since it uses less digits than its factorization.

33322213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 33322213320 its reverse (2331222333), we get a palindrome (35653435653).

It can be divided in two parts, 33322 and 213320, that added together give a palindrome (246642).

The spelling of 33322213320 in words is "thirty-three billion, three hundred twenty-two million, two hundred thirteen thousand, three hundred twenty".