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540540225 = 32522402401
BaseRepresentation
bin100000001101111…
…111110101000001
31101200010021210100
4200031333311001
52101334241400
6125345353013
716252342011
oct4015776501
91350107710
10540540225
11258136965
12131038769
1387caa7b4
1451b09c41
15326c5100
hex2037fd41

540540225 has 18 divisors (see below), whose sum is σ = 968168006. Its totient is φ = 288288000.

The previous prime is 540540179. The next prime is 540540233. The reversal of 540540225 is 522045045.

540540225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 154181889 + 386358336 = 12417^2 + 19656^2 .

It is not a de Polignac number, because 540540225 - 210 = 540539201 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1200976 + ... + 1201425.

Almost surely, 2540540225 is an apocalyptic number.

It is an amenable number.

540540225 is a deficient number, since it is larger than the sum of its proper divisors (427627781).

540540225 is a wasteful number, since it uses less digits than its factorization.

540540225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402417 (or 2402409 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 540540225 is about 23249.5209628070. The cubic root of 540540225 is about 814.5967493352.

The spelling of 540540225 in words is "five hundred forty million, five hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2402401 7207203 12012005 21621609 36036015 60060025 108108045 180180075 540540225