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225311104328 = 2325726532
BaseRepresentation
bin1101000111010110010…
…1101001110101001000
3210112120022121000012212
43101311211221311020
512142414120314303
6251301222524252
722164263534042
oct3216545516510
9715508530185
10225311104328
1187610276542
1237800296688
131832914089b
14ac958cca92
155cda5eaad8
hex3475969d48

225311104328 has 36 divisors (see below), whose sum is σ = 424758995115. Its totient is φ = 112045355008.

The previous prime is 225311104261. The next prime is 225311104339. The reversal of 225311104328 is 823401113522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225311104328 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 5 ways, for example, as 190027990084 + 35283114244 = 435922^2 + 187838^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335642.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225311104294 and 225311104303.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 345039650 + ... + 345040302.

Almost surely, 2225311104328 is an apocalyptic number.

It is an amenable number.

225311104328 is a deficient number, since it is larger than the sum of its proper divisors (199447890787).

225311104328 is an frugal number, since it uses more digits than its factorization.

225311104328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Multiplying 225311104328 by its sum of digits (32), we get a square (7209955338496 = 26851362).

The spelling of 225311104328 in words is "two hundred twenty-five billion, three hundred eleven million, one hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 257 514 653 1028 1306 2056 2612 5224 66049 132098 167821 264196 335642 426409 528392 671284 852818 1342568 1705636 3411272 43129997 86259994 109587113 172519988 219174226 345039976 438348452 876696904 28163888041 56327776082 112655552164 225311104328