Search a number
-
+
216536225 = 52174671091
BaseRepresentation
bin11001110100000…
…01010010100001
3120002110011212012
430322001102201
5420413124400
633253042305
75236345643
oct1472012241
9502404765
10216536225
11101257964
1260626395
1335b26c59
1420a88893
1514023d35
hexce814a1

216536225 has 24 divisors (see below), whose sum is σ = 285169248. Its totient is φ = 162540800.

The previous prime is 216536219. The next prime is 216536227. The reversal of 216536225 is 522635612.

It is not a de Polignac number, because 216536225 - 210 = 216535201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 216536191 and 216536200.

It is not an unprimeable number, because it can be changed into a prime (216536227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197930 + ... + 199020.

It is an arithmetic number, because the mean of its divisors is an integer number (11882052).

Almost surely, 2216536225 is an apocalyptic number.

216536225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216536225 is a deficient number, since it is larger than the sum of its proper divisors (68633023).

216536225 is a wasteful number, since it uses less digits than its factorization.

216536225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1580 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 216536225 is about 14715.1698936845. The cubic root of 216536225 is about 600.4960943339.

The spelling of 216536225 in words is "two hundred sixteen million, five hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 467 1091 2335 5455 7939 11675 18547 27275 39695 92735 198475 463675 509497 2547485 8661449 12737425 43307245 216536225