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34175068225 = 52369732
BaseRepresentation
bin11111110100111111…
…100010100001000001
310021012201102100021121
4133310333202201001
51024442304140400
623411054152241
72316614200264
oct376477424101
9107181370247
1034175068225
1113547a31641
1267591b2681
1332b835197c
141922b30cdb
15d5043121a
hex7f4fe2841

34175068225 has 9 divisors (see below), whose sum is σ = 42378230793. Its totient is φ = 27339315120.

The previous prime is 34175068211. The next prime is 34175068229. The reversal of 34175068225 is 52286057143.

The square root of 34175068225 is 184865.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7142447169 + 27032621056 = 84513^2 + 164416^2 .

It is a de Polignac number, because none of the positive numbers 2k-34175068225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34175068229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 905839 + ... + 942811.

Almost surely, 234175068225 is an apocalyptic number.

34175068225 is the 184865-th square number.

34175068225 is the 92433-rd centered octagonal number.

It is an amenable number.

34175068225 is a deficient number, since it is larger than the sum of its proper divisors (8203162568).

34175068225 is an frugal number, since it uses more digits than its factorization.

34175068225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73956 (or 36978 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 34175068225 in words is "thirty-four billion, one hundred seventy-five million, sixty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 36973 184865 924325 1367002729 6835013645 34175068225