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114225125 = 5372171097
BaseRepresentation
bin1101100111011…
…10111111100101
321221221020102012
412303232333211
5213220201000
615200124005
72554616600
oct663567745
9257836365
10114225125
1159528033
1232306605
131a884541
1411255337
15a064735
hex6ceefe5

114225125 has 48 divisors (see below), whose sum is σ = 175741488. Its totient is φ = 73651200.

The previous prime is 114225119. The next prime is 114225127. The reversal of 114225125 is 521522411.

It can be written as a sum of positive squares in 8 ways, for example, as 33189121 + 81036004 = 5761^2 + 9002^2 .

It is not a de Polignac number, because 114225125 - 214 = 114208741 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114225125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114225127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103577 + ... + 104673.

It is an arithmetic number, because the mean of its divisors is an integer number (3661281).

Almost surely, 2114225125 is an apocalyptic number.

It is an amenable number.

114225125 is a deficient number, since it is larger than the sum of its proper divisors (61516363).

114225125 is a wasteful number, since it uses less digits than its factorization.

114225125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1126 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 114225125 is about 10687.6154964520. The cubic root of 114225125 is about 485.1997264338.

Adding to 114225125 its reverse (521522411), we get a palindrome (635747536).

The spelling of 114225125 in words is "one hundred fourteen million, two hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 125 175 245 425 595 833 875 1097 1225 2125 2975 4165 5485 6125 7679 14875 18649 20825 27425 38395 53753 93245 104125 130543 137125 191975 268765 466225 652715 913801 959875 1343825 2331125 3263575 4569005 6719125 16317875 22845025 114225125