Search a number
-
+
2221800131 = 1926619311
BaseRepresentation
bin1000010001101101…
…1111101011000011
312201211201010210202
42010123133223003
514022240101011
61004244515415
7106025663255
oct20433375303
95654633722
102221800131
11a4016a361
125200abb6b
132953c5245
14171113cd5
15d00c623b
hex846dfac3

2221800131 has 12 divisors (see below), whose sum is σ = 2348691264. Its totient is φ = 2101453200.

The previous prime is 2221800073. The next prime is 2221800167. The reversal of 2221800131 is 1310081222.

It is not a de Polignac number, because 2221800131 - 218 = 2221537987 is a prime.

It is a super-2 number, since 2×22218001312 = 9872791644223234322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2221800181) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 233966 + ... + 243276.

It is an arithmetic number, because the mean of its divisors is an integer number (195724272).

Almost surely, 22221800131 is an apocalyptic number.

2221800131 is a deficient number, since it is larger than the sum of its proper divisors (126891133).

2221800131 is an equidigital number, since it uses as much as digits as its factorization.

2221800131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2221800131 is about 47135.9749130110. The cubic root of 2221800131 is about 1304.8732535946.

Adding to 2221800131 its reverse (1310081222), we get a palindrome (3531881353).

The spelling of 2221800131 in words is "two billion, two hundred twenty-one million, eight hundred thousand, one hundred thirty-one".

Divisors: 1 19 361 661 9311 12559 176909 238621 3361271 6154571 116936849 2221800131