Search a number
-
+
4330222020 = 22325891371973
BaseRepresentation
bin1000000100001100…
…11111000111000100
3102011210002001220100
410002012133013010
532332014101040
61553403404100
7212210164665
oct40206370704
912153061810
104330222020
11192232a993
12a0a223630
13540171567
142d115336c
151a5253b30
hex10219f1c4

4330222020 has 144 divisors (see below), whose sum is σ = 13386325680. Its totient is φ = 1132843008.

The previous prime is 4330222007. The next prime is 4330222021. The reversal of 4330222020 is 202220334.

It can be written as a sum of positive squares in 8 ways, for example, as 493906176 + 3836315844 = 22224^2 + 61938^2 .

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 = 4330221984 and 4330222002.

It is not an unprimeable number, because it can be changed into a prime (4330222021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193754 + ... + 2195726.

It is an arithmetic number, because the mean of its divisors is an integer number (92960595).

Almost surely, 24330222020 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 4330222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693162840).

4330222020 is an abundant number, since it is smaller than the sum of its proper divisors (9056103660).

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

4330222020 is a wasteful number, since it uses less digits than its factorization.

4330222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4330222020 is about 65804.4224957563. The cubic root of 4330222020 is about 1629.9341336126.

Adding to 4330222020 its reverse (202220334), we get a palindrome (4532442354).

The spelling of 4330222020 in words is "four billion, three hundred thirty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 137 178 180 267 274 356 411 445 534 548 685 801 822 890 1068 1233 1335 1370 1602 1644 1780 1973 2055 2466 2670 2740 3204 3946 4005 4110 4932 5340 5919 6165 7892 8010 8220 9865 11838 12193 12330 16020 17757 19730 23676 24386 24660 29595 35514 36579 39460 48772 59190 60965 71028 73158 88785 109737 118380 121930 146316 175597 177570 182895 219474 243860 270301 351194 355140 365790 438948 526791 540602 548685 702388 731580 810903 877985 1053582 1081204 1097370 1351505 1580373 1621806 1755970 2107164 2194740 2432709 2633955 2703010 3160746 3243612 3511940 4054515 4865418 5267910 5406020 6321492 7901865 8109030 9730836 10535820 12163545 15803730 16218060 24056789 24327090 31607460 48113578 48654180 72170367 96227156 120283945 144340734 216511101 240567890 288681468 360851835 433022202 481135780 721703670 866044404 1082555505 1443407340 2165111010 4330222020