Search a number
-
+
4203142220 = 2251739731139
BaseRepresentation
bin1111101010000110…
…1101110001001100
3101211220221202012002
43322201231301030
532102001022340
61533023531432
7206105055644
oct37241556114
911756852162
104203142220
111867622a62
12993759b78
1351ca39004
142bc313524
15199000715
hexfa86dc4c

4203142220 has 48 divisors (see below), whose sum is σ = 9369652320. Its totient is φ = 1578322944.

The previous prime is 4203142217. The next prime is 4203142249. The reversal of 4203142220 is 222413024.

It is a super-3 number, since 3×42031422203 (a number of 30 digits) contains 333 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 = 4203142192 and 4203142201.

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 15 ways as a sum of consecutive naturals, for example, 119411 + ... + 150549.

It is an arithmetic number, because the mean of its divisors is an integer number (195201090).

Almost surely, 24203142220 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 4203142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684826160).

4203142220 is an abundant number, since it is smaller than the sum of its proper divisors (5166510100).

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

4203142220 is a wasteful number, since it uses less digits than its factorization.

4203142220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31562 (or 31560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4203142220 is about 64831.6452051003. The cubic root of 4203142220 is about 1613.8309066578.

Adding to 4203142220 its reverse (222413024), we get a palindrome (4425555244).

The spelling of 4203142220 in words is "four billion, two hundred three million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 397 794 1588 1985 3970 6749 7940 13498 26996 31139 33745 62278 67490 124556 134980 155695 311390 529363 622780 1058726 2117452 2646815 5293630 10587260 12362183 24724366 49448732 61810915 123621830 210157111 247243660 420314222 840628444 1050785555 2101571110 4203142220