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225131062545 = 32532291549369
BaseRepresentation
bin1101000110101011011…
…0110110010100010001
3210112002202210221022200
43101222312312110101
512142032023000140
6251231311553413
722156646312634
oct3215266662421
9715082727280
10225131062545
1187528685484
123776bb2b869
13182caa5399c
14ac79a23c1b
155cc98d5030
hex346adb6511

225131062545 has 24 divisors (see below), whose sum is σ = 390348277800. Its totient is φ = 120032637696.

The previous prime is 225131062517. The next prime is 225131062549. The reversal of 225131062545 is 545260131522.

225131062545 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 3 + 106 + 2 + 545 = 666.

225131062545 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 27739235601 + 197391826944 = 166551^2 + 444288^2 .

It is not a de Polignac number, because 225131062545 - 231 = 222983578897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225131062549) 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 23 ways as a sum of consecutive naturals, for example, 629380 + ... + 919989.

It is an arithmetic number, because the mean of its divisors is an integer number (16264511575).

Almost surely, 2225131062545 is an apocalyptic number.

It is an amenable number.

225131062545 is a deficient number, since it is larger than the sum of its proper divisors (165217215255).

225131062545 is a wasteful number, since it uses less digits than its factorization.

225131062545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552609 (or 1552606 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 225131062545 in words is "two hundred twenty-five billion, one hundred thirty-one million, sixty-two thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 3229 9687 16145 29061 48435 145305 1549369 4648107 7746845 13944321 23240535 69721605 5002912501 15008737503 25014562505 45026212509 75043687515 225131062545