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225355431224313 = 32133820375041697
BaseRepresentation
bin110011001111010110100110…
…011011010010001111111001
31002112220202202110202200010100
4303033112212123102033321
5214014210410343134223
62115142504512510013
765316251444554215
oct6317264633221771
91075822673680110
10225355431224313
1165894779a16425
1221337485b4b309
139898c064b8990
143d9139252d945
151b0c02a3d2043
hexccf5a66d23f9

225355431224313 has 24 divisors (see below), whose sum is σ = 350553880135368. Its totient is φ = 138679874860032.

The previous prime is 225355431224233. The next prime is 225355431224317. The reversal of 225355431224313 is 313422134553522.

225355431224313 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 55 + 43 + 122 + 431 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71350508167929 + 154004923056384 = 8446923^2 + 12409872^2 .

It is not a de Polignac number, because 225355431224313 - 213 = 225355431216121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225355431224317) 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, 42177481 + ... + 47219177.

It is an arithmetic number, because the mean of its divisors is an integer number (14606411672307).

Almost surely, 2225355431224313 is an apocalyptic number.

It is an amenable number.

225355431224313 is a deficient number, since it is larger than the sum of its proper divisors (125198448911055).

225355431224313 is a wasteful number, since it uses less digits than its factorization.

225355431224313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423753 (or 5423750 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

Adding to 225355431224313 its reverse (313422134553522), we get a palindrome (538777565777835).

The spelling of 225355431224313 in words is "two hundred twenty-five trillion, three hundred fifty-five billion, four hundred thirty-one million, two hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 117 382037 1146111 3438333 4966481 5041697 14899443 15125091 44698329 45375273 65542061 196626183 589878549 1926114796789 5778344390367 17335033171101 25039492358257 75118477074771 225355431224313