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825242233 is a prime number
BaseRepresentation
bin110001001100000…
…011001001111001
32010111211122112011
4301030003021321
53142230222413
6213515445521
726310305014
oct6114031171
92114748464
10825242233
11393911782
121b04568a1
13101c8041a
147b85a37b
154c6b133d
hex31303279

825242233 has 2 divisors, whose sum is σ = 825242234. Its totient is φ = 825242232.

The previous prime is 825242207. The next prime is 825242239. The reversal of 825242233 is 332242528.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522899689 + 302342544 = 22867^2 + 17388^2 .

It is a cyclic number.

It is not a de Polignac number, because 825242233 - 29 = 825241721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 825242195 and 825242204.

It is not a weakly prime, because it can be changed into another prime (825242239) 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, 412621116 + 412621117.

It is an arithmetic number, because the mean of its divisors is an integer number (412621117).

Almost surely, 2825242233 is an apocalyptic number.

It is an amenable number.

825242233 is a deficient number, since it is larger than the sum of its proper divisors (1).

825242233 is an equidigital number, since it uses as much as digits as its factorization.

825242233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 31.

The square root of 825242233 is about 28727.0296584941. The cubic root of 825242233 is about 937.9805116707.

The spelling of 825242233 in words is "eight hundred twenty-five million, two hundred forty-two thousand, two hundred thirty-three".