Search a number
-
+
2252011445225 = 521135861136013
BaseRepresentation
bin100000110001010110010…
…101111001101111101001
321222021211112211201012122
4200301112111321233221
5243344104412221400
64442320524521025
7321462641305433
oct40612625715751
97867745751178
102252011445225
11799088829663
123045560b0175
13134496276c29
147add8499653
153d8a76ba685
hex20c56579be9

2252011445225 has 24 divisors (see below), whose sum is σ = 2817707916312. Its totient is φ = 1785347916800.

The previous prime is 2252011445219. The next prime is 2252011445297. The reversal of 2252011445225 is 5225441102522.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1586181556969 + 665829888256 = 1259437^2 + 815984^2 .

It is not a de Polignac number, because 2252011445225 - 24 = 2252011445209 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16489319 + ... + 16625331.

It is an arithmetic number, because the mean of its divisors is an integer number (117404496513).

Almost surely, 22252011445225 is an apocalyptic number.

2252011445225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2252011445225 is a deficient number, since it is larger than the sum of its proper divisors (565696471087).

2252011445225 is a wasteful number, since it uses less digits than its factorization.

2252011445225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141997 (or 141992 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 2252011445225 its reverse (5225441102522), we get a palindrome (7477452547747).

The spelling of 2252011445225 in words is "two trillion, two hundred fifty-two billion, eleven million, four hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 113 565 2825 5861 29305 136013 146525 662293 680065 3311465 3400325 15369469 16557325 76847345 384236725 797172193 3985860965 19929304825 90080457809 450402289045 2252011445225