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2252261117 is a prime number
BaseRepresentation
bin1000011000111110…
…1100011011111101
312210222000201102102
42012033230123331
514103034323432
61011253434445
7106545621641
oct20617543375
95728021372
102252261117
11a56385127
1252a33ba25
1329b7cbcb2
141751a2c21
15d2ae1962
hex863ec6fd

2252261117 has 2 divisors, whose sum is σ = 2252261118. Its totient is φ = 2252261116.

The previous prime is 2252261111. The next prime is 2252261119. The reversal of 2252261117 is 7111622522.

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., 1724823961 + 527437156 = 41531^2 + 22966^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2252261117 is a prime.

Together with 2252261119, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2252261117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2252261111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126130558 + 1126130559.

It is an arithmetic number, because the mean of its divisors is an integer number (1126130559).

Almost surely, 22252261117 is an apocalyptic number.

It is an amenable number.

2252261117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252261117 is an equidigital number, since it uses as much as digits as its factorization.

2252261117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 29.

The square root of 2252261117 is about 47457.9931834459. The cubic root of 2252261117 is about 1310.8094985118.

Adding to 2252261117 its reverse (7111622522), we get a palindrome (9363883639).

The spelling of 2252261117 in words is "two billion, two hundred fifty-two million, two hundred sixty-one thousand, one hundred seventeen".