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540222209 = 1722696949
BaseRepresentation
bin100000001100110…
…010001100000001
31101122112010112222
4200030302030001
52101244102314
6125334500425
716246545602
oct4014621401
91348463488
10540222209
11257a39a3a
12130b04715
1387bc8b17
1451a65da9
1532660c8e
hex20332301

540222209 has 12 divisors (see below), whose sum is σ = 576085500. Its totient is φ = 506481408.

The previous prime is 540222157. The next prime is 540222211. The reversal of 540222209 is 902222045.

It can be written as a sum of positive squares in 6 ways, for example, as 31584400 + 508637809 = 5620^2 + 22553^2 .

It is a de Polignac number, because none of the positive numbers 2k-540222209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540222289) 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, 74267 + ... + 81215.

It is an arithmetic number, because the mean of its divisors is an integer number (48007125).

Almost surely, 2540222209 is an apocalyptic number.

It is an amenable number.

540222209 is a deficient number, since it is larger than the sum of its proper divisors (35863291).

540222209 is a wasteful number, since it uses less digits than its factorization.

540222209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7235 counting only the distinct ones).

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

The square root of 540222209 is about 23242.6807619087. The cubic root of 540222209 is about 814.4369674431.

The spelling of 540222209 in words is "five hundred forty million, two hundred twenty-two thousand, two hundred nine".

Divisors: 1 17 269 289 4573 6949 77741 118133 1869281 2008261 31777777 540222209