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34360205225 = 5229331115083
BaseRepresentation
bin100000000000000001…
…110001111110101001
310021200121210021111112
4200000001301332221
51030332203031400
623441310240105
72324322632303
oct400001617651
9107617707445
1034360205225
1113632492825
1267ab1b6035
133317803aa8
14193d564973
15d61801835
hex800071fa9

34360205225 has 24 divisors (see below), whose sum is σ = 42892379712. Its totient is φ = 27304452800.

The previous prime is 34360205221. The next prime is 34360205237. The reversal of 34360205225 is 52250206343.

It is not a de Polignac number, because 34360205225 - 22 = 34360205221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34360205191 and 34360205200.

It is not an unprimeable number, because it can be changed into a prime (34360205221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2270534 + ... + 2285616.

It is an arithmetic number, because the mean of its divisors is an integer number (1787182488).

Almost surely, 234360205225 is an apocalyptic number.

It is an amenable number.

34360205225 is a deficient number, since it is larger than the sum of its proper divisors (8532174487).

34360205225 is a wasteful number, since it uses less digits than its factorization.

34360205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15697 (or 15692 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 34360205225 in words is "thirty-four billion, three hundred sixty million, two hundred five thousand, two hundred twenty-five".

Divisors: 1 5 25 293 311 1465 1555 7325 7775 15083 75415 91123 377075 455615 2278075 4419319 4690813 22096595 23454065 110482975 117270325 1374408209 6872041045 34360205225