Search a number
-
+
4322113020 = 2234529197467
BaseRepresentation
bin1000000011001111…
…00011010111111100
3102011012211002110000
410001213203113330
532322430104040
61552513514300
7212051232411
oct40147432774
912135732400
104322113020
1119187a1535
12a07572990
1353b592634
142d0042108
151a46a1130
hex1019e35fc

4322113020 has 240 divisors, whose sum is σ = 14127553440. Its totient is φ = 1104800256.

The previous prime is 4322113009. The next prime is 4322113067. The reversal of 4322113020 is 203112234.

4322113020 is a `hidden beast` number, since 432 + 211 + 3 + 0 + 20 = 666.

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 = 4322112984 and 4322113002.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9254827 + ... + 9255293.

It is an arithmetic number, because the mean of its divisors is an integer number (58864806).

Almost surely, 24322113020 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 4322113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063776720).

4322113020 is an abundant number, since it is smaller than the sum of its proper divisors (9805440420).

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

4322113020 is a wasteful number, since it uses less digits than its factorization.

4322113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4322113020 is about 65742.7792232729. The cubic root of 4322113020 is about 1628.9160645783.

Adding to 4322113020 its reverse (203112234), we get a palindrome (4525225254).

The spelling of 4322113020 in words is "four billion, three hundred twenty-two million, one hundred thirteen thousand, twenty".