Search a number
-
+
4220322320 = 24552754029
BaseRepresentation
bin1111101110001101…
…0000001000010000
3101220010021120212002
43323203100020100
532120400303240
61534440053132
7206404101464
oct37343201020
911803246762
104220322320
111876297695
129994641a8
13523472a56
142c07064a4
1519a795d15
hexfb8d0210

4220322320 has 20 divisors (see below), whose sum is σ = 9812249580. Its totient is φ = 1688128896.

The previous prime is 4220322307. The next prime is 4220322343. The reversal of 4220322320 is 232230224.

It can be written as a sum of positive squares in 2 ways, for example, as 1521312016 + 2699010304 = 39004^2 + 51952^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×42203223202 = 35622240969380364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4220322292 and 4220322301.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 26376935 + ... + 26377094.

It is an arithmetic number, because the mean of its divisors is an integer number (490612479).

Almost surely, 24220322320 is an apocalyptic number.

4220322320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220322320 is an abundant number, since it is smaller than the sum of its proper divisors (5591927260).

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

4220322320 is a wasteful number, since it uses less digits than its factorization.

4220322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52754042 (or 52754036 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4220322320 is about 64964.0078812876. The cubic root of 4220322320 is about 1616.0267310057.

Adding to 4220322320 its reverse (232230224), we get a palindrome (4452552544).

The spelling of 4220322320 in words is "four billion, two hundred twenty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 52754029 105508058 211016116 263770145 422032232 527540290 844064464 1055080580 2110161160 4220322320