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2225203193 is a prime number
BaseRepresentation
bin1000010010100001…
…1110011111111001
312202002010000221002
42010220132133321
514024123000233
61004445454345
7106066625603
oct20450363771
95662100832
102225203193
11a42084104
125212713b5
132960171a5
1417175c173
15d05496e8
hex84a1e7f9

2225203193 has 2 divisors, whose sum is σ = 2225203194. Its totient is φ = 2225203192.

The previous prime is 2225203171. The next prime is 2225203217. The reversal of 2225203193 is 3913025222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1470492409 + 754710784 = 38347^2 + 27472^2 .

It is a cyclic number.

It is not a de Polignac number, because 2225203193 - 220 = 2224154617 is a prime.

It is a super-3 number, since 3×22252031933 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2225203153) 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, 1112601596 + 1112601597.

It is an arithmetic number, because the mean of its divisors is an integer number (1112601597).

Almost surely, 22225203193 is an apocalyptic number.

It is an amenable number.

2225203193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225203193 is an equidigital number, since it uses as much as digits as its factorization.

2225203193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2225203193 is about 47172.0594526039. The cubic root of 2225203193 is about 1305.5391249739.

The spelling of 2225203193 in words is "two billion, two hundred twenty-five million, two hundred three thousand, one hundred ninety-three".