Search a number
-
+
22201220222001 = 323766670330997
BaseRepresentation
bin1010000110001000111111…
…10110000100110000110001
32220121102020012122202000200
411003010133312010300301
510402221044334101001
6115115033314505413
74450661635134342
oct503043766046061
986542205582020
1022201220222001
11708a537037957
1225a68b3895269
13c507488bbc12
1456a78aca40c9
152877884ba086
hex14311fd84c31

22201220222001 has 12 divisors (see below), whose sum is σ = 32935143513012. Its totient is φ = 14400791495136.

The previous prime is 22201220221993. The next prime is 22201220222033. The reversal of 22201220222001 is 10022202210222.

22201220222001 is a `hidden beast` number, since 2 + 220 + 1 + 220 + 2 + 220 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18629573807601 + 3571646414400 = 4316199^2 + 1889880^2 .

It is not a de Polignac number, because 22201220222001 - 23 = 22201220221993 is a prime.

It is a super-2 number, since 2×222012202220012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22201220222501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33335165166 + ... + 33335165831.

It is an arithmetic number, because the mean of its divisors is an integer number (2744595292751).

Almost surely, 222201220222001 is an apocalyptic number.

It is an amenable number.

22201220222001 is a deficient number, since it is larger than the sum of its proper divisors (10733923291011).

22201220222001 is a wasteful number, since it uses less digits than its factorization.

22201220222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66670331040 (or 66670331037 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22201220222001 its reverse (10022202210222), we get a palindrome (32223422432223).

The spelling of 22201220222001 in words is "twenty-two trillion, two hundred one billion, two hundred twenty million, two hundred twenty-two thousand, one".

Divisors: 1 3 9 37 111 333 66670330997 200010992991 600032978973 2466802246889 7400406740667 22201220222001