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2225312251 is a prime number
BaseRepresentation
bin1000010010100011…
…1001000111111011
312202002022120112021
42010220321013323
514024134443001
61004452055311
7106100561551
oct20450710773
95662276467
102225312251
11a42149038
12521304537
13296054a16
14171789bd1
15d056bba1
hex84a391fb

2225312251 has 2 divisors, whose sum is σ = 2225312252. Its totient is φ = 2225312250.

The previous prime is 2225312249. The next prime is 2225312311. The reversal of 2225312251 is 1522135222.

2225312251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2225312251 - 21 = 2225312249 is a prime.

It is a super-2 number, since 2×22253122512 = 9904029228901374002, which contains 22 as substring.

Together with 2225312249, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2225312231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112656125 + 1112656126.

It is an arithmetic number, because the mean of its divisors is an integer number (1112656126).

Almost surely, 22225312251 is an apocalyptic number.

2225312251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225312251 is an equidigital number, since it uses as much as digits as its factorization.

2225312251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2400, while the sum is 25.

The square root of 2225312251 is about 47173.2153981473. The cubic root of 2225312251 is about 1305.5604529378.

Adding to 2225312251 its reverse (1522135222), we get a palindrome (3747447473).

The spelling of 2225312251 in words is "two billion, two hundred twenty-five million, three hundred twelve thousand, two hundred fifty-one".