Search a number
-
+
225932179041 = 34137197103349
BaseRepresentation
bin1101001001101010011…
…0110111011001100001
3210121011121020212120000
43102122212313121201
512200202114212131
6251443010410213
722215544556352
oct3223246673141
9717147225500
10225932179041
11878a9909128
1237954290969
13183c7a07b0a
14ad1419dd29
155d24dccce6
hex349a9b7661

225932179041 has 40 divisors (see below), whose sum is σ = 341696183400. Its totient is φ = 148761591552.

The previous prime is 225932179013. The next prime is 225932179051. The reversal of 225932179041 is 140971239522.

225932179041 is a `hidden beast` number, since 2 + 2 + 593 + 2 + 17 + 9 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61505984016 + 164426195025 = 248004^2 + 405495^2 .

It is not a de Polignac number, because 225932179041 - 26 = 225932178977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225932179051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2134435 + ... + 2237783.

It is an arithmetic number, because the mean of its divisors is an integer number (8542404585).

Almost surely, 2225932179041 is an apocalyptic number.

It is an amenable number.

225932179041 is a deficient number, since it is larger than the sum of its proper divisors (115764004359).

225932179041 is a wasteful number, since it uses less digits than its factorization.

225932179041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103695 (or 103686 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 225932179041 in words is "two hundred twenty-five billion, nine hundred thirty-two million, one hundred seventy-nine thousand, forty-one".

Divisors: 1 3 9 27 81 137 197 411 591 1233 1773 3699 5319 11097 15957 26989 80967 103349 242901 310047 728703 930141 2186109 2790423 8371269 14158813 20359753 42476439 61079259 127429317 183237777 382287951 549713331 1146863853 1649139993 2789286161 8367858483 25103575449 75310726347 225932179041