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225025757141 = 417589723209
BaseRepresentation
bin1101000110010010010…
…1001000111111010101
3210111211102122212110112
43101210211020333111
512141323043212031
6251213030532405
722154230243043
oct3214445107725
9714742585415
10225025757141
118748419aa19
1237740807105
13182b1ca33b3
14ac69a51393
155cc053362b
hex3464948fd5

225025757141 has 8 divisors (see below), whose sum is σ = 230544883800. Its totient is φ = 219508092160.

The previous prime is 225025757137. The next prime is 225025757171. The reversal of 225025757141 is 141757520522.

It is a happy number.

225025757141 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 4 ways, for example, as 6291821041 + 218733936100 = 79321^2 + 467690^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225025757141 - 22 = 225025757137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225025757111) 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 7 ways as a sum of consecutive naturals, for example, 50456 + ... + 672753.

It is an arithmetic number, because the mean of its divisors is an integer number (28818110475).

Almost surely, 2225025757141 is an apocalyptic number.

It is an amenable number.

225025757141 is a deficient number, since it is larger than the sum of its proper divisors (5519126659).

225025757141 is an equidigital number, since it uses as much as digits as its factorization.

225025757141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730839.

The product of its (nonzero) digits is 196000, while the sum is 41.

The spelling of 225025757141 in words is "two hundred twenty-five billion, twenty-five million, seven hundred fifty-seven thousand, one hundred forty-one".

Divisors: 1 41 7589 311149 723209 29651569 5488433101 225025757141