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2009042225 = 52369721737
BaseRepresentation
bin111011110111111…
…1000110100110001
312012000100220211022
41313233320310301
513103303322400
6531204425225
7100533401651
oct16757706461
95160326738
102009042225
11941063183
124809a8215
132602c1ca8
14150b70361
15bb59bb85
hex77bf8d31

2009042225 has 12 divisors (see below), whose sum is σ = 2492000844. Its totient is φ = 1606725120.

The previous prime is 2009042219. The next prime is 2009042227. The reversal of 2009042225 is 5222409002.

It can be written as a sum of positive squares in 6 ways, for example, as 746163856 + 1262878369 = 27316^2 + 35537^2 .

It is not a de Polignac number, because 2009042225 - 210 = 2009041201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2009042194 and 2009042203.

It is not an unprimeable number, because it can be changed into a prime (2009042227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81557 + ... + 103293.

It is an arithmetic number, because the mean of its divisors is an integer number (207666737).

Almost surely, 22009042225 is an apocalyptic number.

2009042225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2009042225 is a deficient number, since it is larger than the sum of its proper divisors (482958619).

2009042225 is a wasteful number, since it uses less digits than its factorization.

2009042225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25444 (or 25439 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2009042225 is about 44822.3406907761. The cubic root of 2009042225 is about 1261.8169438449.

The spelling of 2009042225 in words is "two billion, nine million, forty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 3697 18485 21737 92425 108685 543425 80361689 401808445 2009042225