Search a number
-
+
2032220124 = 2233112961967
BaseRepresentation
bin111100100100001…
…0011011111011100
312020121222110221000
41321020103133130
513130222020444
6533353310300
7101234405004
oct17110233734
95217873830
102032220124
11953154070
12488705390
13265048a1c
14153c85004
15bd629469
hex792137dc

2032220124 has 192 divisors, whose sum is σ = 6049612800. Its totient is φ = 584236800.

The previous prime is 2032220093. The next prime is 2032220129. The reversal of 2032220124 is 4210222302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2032220097 and 2032220106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032220129) 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, 2101089 + ... + 2102055.

It is an arithmetic number, because the mean of its divisors is an integer number (31508400).

Almost surely, 22032220124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032220124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024806400).

2032220124 is an abundant number, since it is smaller than the sum of its proper divisors (4017392676).

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

2032220124 is a wasteful number, since it uses less digits than its factorization.

2032220124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2032220124 is about 45080.1522180216. The cubic root of 2032220124 is about 1266.6508411996.

Adding to 2032220124 its reverse (4210222302), we get a palindrome (6242442426).

The spelling of 2032220124 in words is "two billion, thirty-two million, two hundred twenty thousand, one hundred twenty-four".