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34216600225 = 524133382049
BaseRepresentation
bin11111110111011101…
…111110001010100001
310021022121120101110211
4133313131332022201
51030033422201400
623415140254121
72320630205653
oct376735761241
9107277511424
1034216600225
1113569419205
12676b0a1341
1332c3b33912
1419284626d3
15d53dd6dba
hex7f777e2a1

34216600225 has 12 divisors (see below), whose sum is σ = 43463429100. Its totient is φ = 26705638400.

The previous prime is 34216600211. The next prime is 34216600267. The reversal of 34216600225 is 52200661243.

It can be written as a sum of positive squares in 6 ways, for example, as 271854144 + 33944746081 = 16488^2 + 184241^2 .

It is not a de Polignac number, because 34216600225 - 211 = 34216598177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16690000 + ... + 16692049.

It is an arithmetic number, because the mean of its divisors is an integer number (3621952425).

Almost surely, 234216600225 is an apocalyptic number.

It is an amenable number.

34216600225 is a deficient number, since it is larger than the sum of its proper divisors (9246828875).

34216600225 is a wasteful number, since it uses less digits than its factorization.

34216600225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33382100 (or 33382095 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 34216600225 in words is "thirty-four billion, two hundred sixteen million, six hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 33382049 166910245 834551225 1368664009 6843320045 34216600225