Search a number
-
+
216106302225 = 352111715408649
BaseRepresentation
bin1100100101000011110…
…0000111101100010001
3202122210211010121112110
43021100330013230101
512020041203132400
6243140004015533
721420213155232
oct3112074075421
9678724117473
10216106302225
1183717412480
1235a716915a9
13174c0114618
14a661205089
15594c466e50
hex3250f07b11

216106302225 has 48 divisors (see below), whose sum is σ = 412705281600. Its totient is φ = 98615347200.

The previous prime is 216106302193. The next prime is 216106302241. The reversal of 216106302225 is 522203601612.

It is not a de Polignac number, because 216106302225 - 25 = 216106302193 is a prime.

It is a super-2 number, since 2×2161063022252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 216106302192 and 216106302201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7690300 + ... + 7718349.

It is an arithmetic number, because the mean of its divisors is an integer number (8598026700).

Almost surely, 2216106302225 is an apocalyptic number.

216106302225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216106302225 is a deficient number, since it is larger than the sum of its proper divisors (196598979375).

216106302225 is a wasteful number, since it uses less digits than its factorization.

216106302225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15408690 (or 15408685 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 216106302225 its reverse (522203601612), we get a palindrome (738309903837).

The spelling of 216106302225 in words is "two hundred sixteen billion, one hundred six million, three hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 165 187 255 275 425 561 825 935 1275 2805 4675 14025 15408649 46225947 77043245 169495139 231129735 261947033 385216225 508485417 785841099 847475695 1155648675 1309735165 2542427085 2881417363 3929205495 4237378475 6548675825 8644252089 12712135425 14407086815 19646027475 43221260445 72035434075 216106302225