Search a number
-
+
993332233 is a prime number
BaseRepresentation
bin111011001101010…
…000110000001001
32120020010111122201
4323031100300021
54013243112413
6242322320201
733421120225
oct7315206011
92506114581
10993332233
1146a78a233
122387b9061
1312aa4426a
1495cd3785
155c3159dd
hex3b350c09

993332233 has 2 divisors, whose sum is σ = 993332234. Its totient is φ = 993332232.

The previous prime is 993332231. The next prime is 993332237. The reversal of 993332233 is 332233399.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 701879049 + 291453184 = 26493^2 + 17072^2 .

It is an emirp because it is prime and its reverse (332233399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993332233 - 21 = 993332231 is a prime.

Together with 993332231, it forms a pair of twin primes.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 993332192 and 993332201.

It is not a weakly prime, because it can be changed into another prime (993332231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496666116 + 496666117.

It is an arithmetic number, because the mean of its divisors is an integer number (496666117).

Almost surely, 2993332233 is an apocalyptic number.

It is an amenable number.

993332233 is a deficient number, since it is larger than the sum of its proper divisors (1).

993332233 is an equidigital number, since it uses as much as digits as its factorization.

993332233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 78732, while the sum is 37.

The square root of 993332233 is about 31517.1736201075. The cubic root of 993332233 is about 997.7724527174.

The spelling of 993332233 in words is "nine hundred ninety-three million, three hundred thirty-two thousand, two hundred thirty-three".