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225432665505 = 32547431105619
BaseRepresentation
bin1101000111110011010…
…1010111110110100001
3210112212210022221210200
43101330311113312201
512143141230244010
6251321244215413
722200301016565
oct3217465276641
9715783287720
10225432665505
1187672954223
1237834b3a569
1318348393288
14aca7ad36a5
155ce610dcc0
hex347cd57da1

225432665505 has 24 divisors (see below), whose sum is σ = 390761891520. Its totient is φ = 120227081760.

The previous prime is 225432665503. The next prime is 225432665537. The reversal of 225432665505 is 505566234522.

225432665505 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 32 + 66 + 550 + 5 = 666.

It is not a de Polignac number, because 225432665505 - 21 = 225432665503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (225432665503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2081586 + ... + 2187204.

It is an arithmetic number, because the mean of its divisors is an integer number (16281745480).

Almost surely, 2225432665505 is an apocalyptic number.

It is an amenable number.

225432665505 is a deficient number, since it is larger than the sum of its proper divisors (165329226015).

225432665505 is a wasteful number, since it uses less digits than its factorization.

225432665505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153061 (or 153058 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 225432665505 in words is "two hundred twenty-five billion, four hundred thirty-two million, six hundred sixty-five thousand, five hundred five".

Divisors: 1 3 5 9 15 45 47431 105619 142293 237155 316857 426879 528095 711465 950571 1584285 2134395 4752855 5009614789 15028844367 25048073945 45086533101 75144221835 225432665505