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355201223540 = 225171044709481
BaseRepresentation
bin1010010101100111010…
…01001000101101110100
31020221211120202201201212
411022303221020231310
521304423003123130
6431102134540552
734443134404202
oct5126351105564
91227746681655
10355201223540
111277049155a9
1258a10207758
13276593223a7
1413298554072
15938d9a6e95
hex52b3a48b74

355201223540 has 24 divisors (see below), whose sum is σ = 789800368392. Its totient is φ = 133722813440.

The previous prime is 355201223513. The next prime is 355201223569. The reversal of 355201223540 is 45322102553.

It can be written as a sum of positive squares in 4 ways, for example, as 16006804324 + 339194419216 = 126518^2 + 582404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 355201223497 and 355201223506.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 522354401 + ... + 522355080.

It is an arithmetic number, because the mean of its divisors is an integer number (32908348683).

Almost surely, 2355201223540 is an apocalyptic number.

It is an amenable number.

355201223540 is an abundant number, since it is smaller than the sum of its proper divisors (434599144852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

355201223540 is a wasteful number, since it uses less digits than its factorization.

355201223540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044709507 (or 1044709505 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 355201223540 in words is "three hundred fifty-five billion, two hundred one million, two hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1044709481 2089418962 4178837924 5223547405 10447094810 17760061177 20894189620 35520122354 71040244708 88800305885 177600611770 355201223540