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2252214301 is a prime number
BaseRepresentation
bin1000011000111110…
…0001000000011101
312210221221100012111
42012033201000131
514103031324201
61011252434021
7106545335311
oct20617410035
95727840174
102252214301
11a56352a37
1252a318911
1329b7b38ac
1417518db41
15d2ad2b51
hex863e101d

2252214301 has 2 divisors, whose sum is σ = 2252214302. Its totient is φ = 2252214300.

The previous prime is 2252214299. The next prime is 2252214319. The reversal of 2252214301 is 1034122522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1776538201 + 475676100 = 42149^2 + 21810^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252214301 - 21 = 2252214299 is a prime.

Together with 2252214299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2252214361) 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, 1126107150 + 1126107151.

It is an arithmetic number, because the mean of its divisors is an integer number (1126107151).

Almost surely, 22252214301 is an apocalyptic number.

It is an amenable number.

2252214301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252214301 is an equidigital number, since it uses as much as digits as its factorization.

2252214301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2252214301 is about 47457.4999446874. The cubic root of 2252214301 is about 1310.8004161897.

Adding to 2252214301 its reverse (1034122522), we get a palindrome (3286336823).

The spelling of 2252214301 in words is "two billion, two hundred fifty-two million, two hundred fourteen thousand, three hundred one".