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354523014225 = 32522954333029
BaseRepresentation
bin1010010100010110011…
…01111110010001010001
31020220002022121010110100
411022023031332101101
521302030342423400
6430510550323013
734420260620442
oct5121315762121
91226068533410
10354523014225
11127396aa9936
1258861059469
132757b9724c3
141323244d2c9
15934e18b100
hex528b37e451

354523014225 has 36 divisors (see below), whose sum is σ = 656886332700. Its totient is φ = 182558974080.

The previous prime is 354523014193. The next prime is 354523014227. The reversal of 354523014225 is 522410325453.

354523014225 is a `hidden beast` number, since 35 + 452 + 30 + 142 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20985578496 + 333537435729 = 144864^2 + 577527^2 .

It is not a de Polignac number, because 354523014225 - 25 = 354523014193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 354523014225.

It is not an unprimeable number, because it can be changed into a prime (354523014227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27159990 + ... + 27173039.

It is an arithmetic number, because the mean of its divisors is an integer number (18246842575).

Almost surely, 2354523014225 is an apocalyptic number.

It is an amenable number.

354523014225 is a deficient number, since it is larger than the sum of its proper divisors (302363318475).

354523014225 is a wasteful number, since it uses less digits than its factorization.

354523014225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54333074 (or 54333066 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 354523014225 its reverse (522410325453), we get a palindrome (876933339678).

The spelling of 354523014225 in words is "three hundred fifty-four billion, five hundred twenty-three million, fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 54333029 162999087 271665145 488997261 814995435 1358325725 1575657841 2444986305 4074977175 4726973523 7878289205 12224931525 14180920569 23634867615 39391446025 70904602845 118174338075 354523014225