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225508524705 = 3255011300549
BaseRepresentation
bin1101001000000101011…
…0110000001010100001
3210120002002002000001200
43102001112300022201
512143320140242310
6251332554151413
722202211555462
oct3220126601241
9716062060050
10225508524705
1187701757382
1237856422569
131835b003989
14acb3bdcd69
155cecae59c0
hex34815b02a1

225508524705 has 12 divisors (see below), whose sum is σ = 390881442900. Its totient is φ = 120271213152.

The previous prime is 225508524697. The next prime is 225508524749. The reversal of 225508524705 is 507425805522.

225508524705 is a `hidden beast` number, since 2 + 2 + 5 + 50 + 8 + 524 + 70 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158368977936 + 67139546769 = 397956^2 + 259113^2 .

It is not a de Polignac number, because 225508524705 - 23 = 225508524697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5011300549 = 225508524705 / (2 + 2 + 5 + 5 + 0 + 8 + 5 + 2 + 4 + 7 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2505650230 + ... + 2505650319.

It is an arithmetic number, because the mean of its divisors is an integer number (32573453575).

Almost surely, 2225508524705 is an apocalyptic number.

It is an amenable number.

225508524705 is a deficient number, since it is larger than the sum of its proper divisors (165372918195).

225508524705 is a wasteful number, since it uses less digits than its factorization.

225508524705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011300560 (or 5011300557 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The spelling of 225508524705 in words is "two hundred twenty-five billion, five hundred eight million, five hundred twenty-four thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 5011300549 15033901647 25056502745 45101704941 75169508235 225508524705