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216306225 = 32521735557
BaseRepresentation
bin11001110010010…
…01001000110001
3120002000111100200
430321021020301
5420333244400
633244105413
75234400252
oct1471111061
9502014320
10216306225
11101110083
1260535269
1335a76365
1420a28b29
1513ecab00
hexce49231

216306225 has 36 divisors (see below), whose sum is σ = 389738076. Its totient is φ = 114675840.

The previous prime is 216306221. The next prime is 216306229. The reversal of 216306225 is 522603612.

216306225 is a `hidden beast` number, since 2 + 1 + 6 + 30 + 622 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (216306221) and next prime (216306229).

It can be written as a sum of positive squares in 6 ways, for example, as 28259856 + 188046369 = 5316^2 + 13713^2 .

It is not a de Polignac number, because 216306225 - 22 = 216306221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (216306221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36147 + ... + 41703.

Almost surely, 2216306225 is an apocalyptic number.

216306225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216306225 is a deficient number, since it is larger than the sum of its proper divisors (173431851).

216306225 is a wasteful number, since it uses less digits than its factorization.

216306225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216306225 is about 14707.3527529600. The cubic root of 216306225 is about 600.2834077790.

Adding to 216306225 its reverse (522603612), we get a palindrome (738909837).

The spelling of 216306225 in words is "two hundred sixteen million, three hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 173 225 519 865 1557 2595 4325 5557 7785 12975 16671 27785 38925 50013 83355 138925 250065 416775 961361 1250325 2884083 4806805 8652249 14420415 24034025 43261245 72102075 216306225