Search a number
-
+
422127660 = 223571197503
BaseRepresentation
bin11001001010010…
…010100000101100
31002102022022021210
4121022102200230
51331031041120
6105515354420
713314011613
oct3112224054
91072268253
10422127660
111a7309839
12b9452a10
13695bb2a6
14400c487a
15270d4ce0
hex1929282c

422127660 has 96 divisors (see below), whose sum is σ = 1207084032. Its totient is φ = 110199040.

The previous prime is 422127653. The next prime is 422127691. The reversal of 422127660 is 66721224.

It is a super-2 number, since 2×4221276602 = 356383522674151200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838969 + ... + 839471.

It is an arithmetic number, because the mean of its divisors is an integer number (12573792).

Almost surely, 2422127660 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 422127660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603542016).

422127660 is an abundant number, since it is smaller than the sum of its proper divisors (784956372).

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

422127660 is a wasteful number, since it uses less digits than its factorization.

422127660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 422127660 is about 20545.7455450027. The cubic root of 422127660 is about 750.1496945645.

Adding to 422127660 its reverse (66721224), we get a palindrome (488848884).

The spelling of 422127660 in words is "four hundred twenty-two million, one hundred twenty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 197 213 284 355 394 426 503 591 710 788 852 985 1006 1065 1182 1420 1509 1970 2012 2130 2364 2515 2955 3018 3940 4260 5030 5910 6036 7545 10060 11820 13987 15090 27974 30180 35713 41961 55948 69935 71426 83922 99091 107139 139870 142852 167844 178565 198182 209805 214278 279740 297273 357130 396364 419610 428556 495455 535695 594546 714260 839220 990910 1071390 1189092 1486365 1981820 2142780 2972730 5945460 7035461 14070922 21106383 28141844 35177305 42212766 70354610 84425532 105531915 140709220 211063830 422127660