Search a number
-
+
2201222101212 = 2232411491342887
BaseRepresentation
bin100000000010000011000…
…011111011100011011100
321210102201221201201011100
4200002003003323203130
5242031100324214322
64403121044553100
7315014223100251
oct40020303734334
97712657651140
102201222101212
11779595543792
122b67409b2790
1312c760b15654
147877adb5428
153c3d38a5dac
hex200830fb8dc

2201222101212 has 36 divisors (see below), whose sum is σ = 5699912517936. Its totient is φ = 715844585280.

The previous prime is 2201222101201. The next prime is 2201222101217. The reversal of 2201222101212 is 2121012221022.

It is a happy number.

2201222101212 is a `hidden beast` number, since 220 + 1 + 22 + 210 + 1 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201222101217) 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, 745669968 + ... + 745672919.

It is an arithmetic number, because the mean of its divisors is an integer number (158330903276).

Almost surely, 22201222101212 is an apocalyptic number.

It is an amenable number.

2201222101212 is an abundant number, since it is smaller than the sum of its proper divisors (3498690416724).

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

2201222101212 is a wasteful number, since it uses less digits than its factorization.

2201222101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491342938 (or 1491342933 counting only the distinct ones).

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

Adding to 2201222101212 its reverse (2121012221022), we get a palindrome (4322234322234).

The spelling of 2201222101212 in words is "two trillion, two hundred one billion, two hundred twenty-two million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1491342887 2982685774 4474028661 5965371548 8948057322 13422085983 17896114644 26844171966 53688343932 61145058367 122290116734 183435175101 244580233468 366870350202 550305525303 733740700404 1100611050606 2201222101212