Search a number
-
+
4200123220 = 225344960889
BaseRepresentation
bin1111101001011000…
…1100101101010100
3101211201021100220021
43322112030231110
532100212420340
61532435114524
7206040313126
oct37226145524
911751240807
104200123220
111865950817
12992742a44
1351c21cb17
142bbb69216
15198b05e4a
hexfa58cb54

4200123220 has 24 divisors (see below), whose sum is σ = 8822961000. Its totient is φ = 1679534592.

The previous prime is 4200123209. The next prime is 4200123233. The reversal of 4200123220 is 223210024.

It can be written as a sum of positive squares in 4 ways, for example, as 418857156 + 3781266064 = 20466^2 + 61492^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4200123194 and 4200123203.

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 7 ways as a sum of consecutive naturals, for example, 38536 + ... + 99424.

It is an arithmetic number, because the mean of its divisors is an integer number (367623375).

Almost surely, 24200123220 is an apocalyptic number.

It is an amenable number.

4200123220 is an abundant number, since it is smaller than the sum of its proper divisors (4622837780).

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

4200123220 is a wasteful number, since it uses less digits than its factorization.

4200123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64347 (or 64345 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4200123220 is about 64808.3576400452. The cubic root of 4200123220 is about 1613.4444241780. Note that the first 4 decimals are identical.

Adding to 4200123220 its reverse (223210024), we get a palindrome (4423333244).

The spelling of 4200123220 in words is "four billion, two hundred million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 3449 6898 13796 17245 34490 60889 68980 121778 243556 304445 608890 1217780 210006161 420012322 840024644 1050030805 2100061610 4200123220