216225 has 27 divisors (see below), whose sum is σ = 400179. Its totient is φ = 111600.

The previous prime is 216217. The next prime is 216233. The reversal of 216225 is 522612.

216225 = T_{464} + T_{465}.

216225 = 1^{3} + 2^{3} + ... + 30^{3}.

The square root of 216225 is 465.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (216217) and next prime (216233).

It can be written as a sum of positive squares in only one way, i.e., 77841 + 138384 = 279^2 + 372^2 .

It is not a de Polignac number, because 216225 - 2^{3} = 216217 is a prime.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 216198 and 216207.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 216225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6960 + ... + 6990.

216225 is a Friedman number, since it can be written as ((62*15)/2)^2, using all its digits and the basic arithmetic operations.

2^{216225} is an apocalyptic number.

216225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

216225 is the 465-th square number.

216225 is the 233-rd centered octagonal number.

It is an amenable number.

216225 is a deficient number, since it is larger than the sum of its proper divisors (183954).

216225 is a wasteful number, since it uses less digits than its factorization.

216225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The cubic root of 216225 is about 60.0208261037.

Adding to 216225 its reverse (522612), we get a palindrome (738837).

It can be divided in two parts, 2162 and 25, that added together give a 7-th power (2187 = 3^{7}).

The spelling of 216225 in words is "two hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 961 1395 2325 2883 4805 6975 8649 14415 24025 43245 72075 216225

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