Search a number
-
+
222220110120201 = 32731013348857093
BaseRepresentation
bin110010100001101110100110…
…101110011100010100001001
31002010211000221112222001110100
4302201232212232130110021
5213111323241142321301
62104342302000240013
764543605326110524
oct6241564656342411
91063730845861410
10222220110120201
1164896023995316
1220b0b8b5310009
1396cc360578a4b
143cc37215a1bbb
151aa56c5ae6286
hexca1ba6b9c509

222220110120201 has 24 divisors (see below), whose sum is σ = 328603253491656. Its totient is φ = 144670626374400.

The previous prime is 222220110120191. The next prime is 222220110120251. The reversal of 222220110120201 is 102021011022222.

It is a happy number.

222220110120201 is a `hidden beast` number, since 222 + 220 + 1 + 1 + 0 + 1 + 20 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161141571164025 + 61078538956176 = 12694155^2 + 7815276^2 .

It is not a de Polignac number, because 222220110120201 - 222 = 222220105925897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (222220110120251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1674362190 + ... + 1674494903.

It is an arithmetic number, because the mean of its divisors is an integer number (13691802228819).

Almost surely, 2222220110120201 is an apocalyptic number.

It is an amenable number.

222220110120201 is a deficient number, since it is larger than the sum of its proper divisors (106383143371455).

222220110120201 is a wasteful number, since it uses less digits than its factorization.

222220110120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348857273 (or 3348857270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222220110120201 its reverse (102021011022222), we get a palindrome (324241121142423).

The spelling of 222220110120201 in words is "two hundred twenty-two trillion, two hundred twenty billion, one hundred ten million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 9 73 101 219 303 657 909 7373 22119 66357 3348857093 10046571279 30139713837 244466567789 338234566393 733399703367 1014703699179 2200199110101 3044111097537 24691123346689 74073370040067 222220110120201