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2200122193 is a prime number
BaseRepresentation
bin1000001100100011…
…0011001101010001
312200022220210021011
42003020303031101
514001212402233
61002152130521
7105343505263
oct20310631521
95608823234
102200122193
11a29a03405
12514996a41
13290a75169
1416c2adb33
15cd2430cd
hex83233351

2200122193 has 2 divisors, whose sum is σ = 2200122194. Its totient is φ = 2200122192.

The previous prime is 2200122191. The next prime is 2200122257. The reversal of 2200122193 is 3912210022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1444532049 + 755590144 = 38007^2 + 27488^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200122193 - 21 = 2200122191 is a prime.

It is a super-2 number, since 2×22001221932 = 9681075328262258498, which contains 22 as substring.

Together with 2200122191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2200122191) 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, 1100061096 + 1100061097.

It is an arithmetic number, because the mean of its divisors is an integer number (1100061097).

Almost surely, 22200122193 is an apocalyptic number.

It is an amenable number.

2200122193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200122193 is an equidigital number, since it uses as much as digits as its factorization.

2200122193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2200122193 is about 46905.4601619044. The cubic root of 2200122193 is about 1300.6155256739.

The spelling of 2200122193 in words is "two billion, two hundred million, one hundred twenty-two thousand, one hundred ninety-three".