Search a number
-
+
2221235133221 = 131378389148669
BaseRepresentation
bin100000010100101011111…
…011100101101100100101
321212100101200210001222002
4200110223323211230211
5242343042143230341
64420231001415045
7316323164052326
oct40245373455445
97770350701862
102221235133221
11787025363965
122ba5a719a485
13131600103c20
1479718cd044d
153cba584829b
hex2052bee5b25

2221235133221 has 16 divisors (see below), whose sum is σ = 2409863391600. Its totient is φ = 2035148364288.

The previous prime is 2221235133199. The next prime is 2221235133253. The reversal of 2221235133221 is 1223315321222.

It is a happy number.

2221235133221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23680900996 + 2197554232225 = 153886^2 + 1482415^2 .

It is not a de Polignac number, because 2221235133221 - 218 = 2221234871077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221235123221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14866475 + ... + 15015143.

It is an arithmetic number, because the mean of its divisors is an integer number (150616461975).

Almost surely, 22221235133221 is an apocalyptic number.

It is an amenable number.

2221235133221 is a deficient number, since it is larger than the sum of its proper divisors (188628258379).

2221235133221 is a wasteful number, since it uses less digits than its factorization.

2221235133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157208.

The product of its digits is 8640, while the sum is 29.

The spelling of 2221235133221 in words is "two trillion, two hundred twenty-one billion, two hundred thirty-five million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 13 137 1781 8389 109057 148669 1149293 1932697 14940809 20367653 264779489 1247184241 16213395133 170864241017 2221235133221