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1116225 = 325211241
BaseRepresentation
bin100010000100001000001
32002201011200
410100201001
5241204400
635531413
712326205
oct4204101
92081150
101116225
116a2700
12459b69
133010b6
14210b05
15170b00
hex110841

1116225 has 54 divisors (see below), whose sum is σ = 2251158. Its totient is φ = 528000.

The previous prime is 1116223. The next prime is 1116229. The reversal of 1116225 is 5226111.

It can be written as a sum of positive squares in 3 ways, for example, as 1089 + 1115136 = 33^2 + 1056^2 .

It is not a de Polignac number, because 1116225 - 21 = 1116223 is a prime.

Its product of digits (120) is a multiple of the sum of its prime divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 1116198 and 1116207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27205 + ... + 27245.

21116225 is an apocalyptic number.

1116225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1116225 is an abundant number, since it is smaller than the sum of its proper divisors (1134933).

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

1116225 is a wasteful number, since it uses less digits than its factorization.

1116225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 1116225 is about 1056.5154991764. The cubic root of 1116225 is about 103.7330741247.

It can be divided in two parts, 111 and 6225, that added together give a palindrome (6336).

The spelling of 1116225 in words is "one million, one hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 41 45 55 75 99 121 123 165 205 225 275 363 369 451 495 605 615 825 1025 1089 1353 1815 1845 2255 2475 3025 3075 4059 4961 5445 6765 9075 9225 11275 14883 20295 24805 27225 33825 44649 74415 101475 124025 223245 372075 1116225