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34360183225 = 5213122832
BaseRepresentation
bin100000000000000001…
…101100100110111001
310021200121202011022201
4200000001230212321
51030332201330400
623441305550201
72324322511204
oct400001544671
9107617664281
1034360183225
1113632478245
1267ab1a5361
1333177c6a84
14193d55a93b
15d617ea06a
hex80006c9b9

34360183225 has 27 divisors (see below), whose sum is σ = 43086598959. Its totient is φ = 27181923600.

The previous prime is 34360183219. The next prime is 34360183229. The reversal of 34360183225 is 52238106343.

The square root of 34360183225 is 185365.

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

It can be written as a sum of positive squares in only one way, i.e., 12369665961 + 21990517264 = 111219^2 + 148292^2 .

It is not a de Polignac number, because 34360183225 - 219 = 34359658937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34360183229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121413934 + ... + 121414216.

Almost surely, 234360183225 is an apocalyptic number.

34360183225 is the 185365-th square number.

34360183225 is the 92683-rd centered octagonal number.

It is an amenable number.

34360183225 is a deficient number, since it is larger than the sum of its proper divisors (8726415734).

34360183225 is an frugal number, since it uses more digits than its factorization.

34360183225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 34360183225 its reverse (52238106343), we get a palindrome (86598289568).

The spelling of 34360183225 in words is "thirty-four billion, three hundred sixty million, one hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 131 283 655 1415 3275 7075 17161 37073 80089 85805 185365 400445 429025 926825 2002225 4856563 10491659 24282815 52458295 121414075 262291475 1374407329 6872036645 34360183225