Search a number
-
+
225310335521 is a prime number
BaseRepresentation
bin1101000111010110001…
…0101110001000100001
3210112120021010221121112
43101311202232020201
512142413421214041
6251301154233105
722164254152445
oct3216542561041
9715507127545
10225310335521
118760a8a0967
12377bbb85795
1318328c3197b
14ac9576c825
155cda4e7deb
hex34758ae221

225310335521 has 2 divisors, whose sum is σ = 225310335522. Its totient is φ = 225310335520.

The previous prime is 225310335463. The next prime is 225310335541. The reversal of 225310335521 is 125533013522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169361056225 + 55949279296 = 411535^2 + 236536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225310335521 is a prime.

It is not a weakly prime, because it can be changed into another prime (225310335541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112655167760 + 112655167761.

It is an arithmetic number, because the mean of its divisors is an integer number (112655167761).

Almost surely, 2225310335521 is an apocalyptic number.

It is an amenable number.

225310335521 is a deficient number, since it is larger than the sum of its proper divisors (1).

225310335521 is an equidigital number, since it uses as much as digits as its factorization.

225310335521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 225310335521 in words is "two hundred twenty-five billion, three hundred ten million, three hundred thirty-five thousand, five hundred twenty-one".