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2252415233 is a prime number
BaseRepresentation
bin1000011001000001…
…0010000100000001
312210222022112211102
42012100102010001
514103104241413
61011301024145
7106550133155
oct20620220401
95728275742
102252415233
11a5647a9a2
1252a3b5055
1329b8541a3
14175203065
15d2b22458
hex86412101

2252415233 has 2 divisors, whose sum is σ = 2252415234. Its totient is φ = 2252415232.

The previous prime is 2252415199. The next prime is 2252415257. The reversal of 2252415233 is 3325142522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2013496384 + 238918849 = 44872^2 + 15457^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252415233 - 214 = 2252398849 is a prime.

It is a super-3 number, since 3×22524152333 (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2252415196 and 2252415205.

It is not a weakly prime, because it can be changed into another prime (2252415283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126207616 + 1126207617.

It is an arithmetic number, because the mean of its divisors is an integer number (1126207617).

Almost surely, 22252415233 is an apocalyptic number.

It is an amenable number.

2252415233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252415233 is an equidigital number, since it uses as much as digits as its factorization.

2252415233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14400, while the sum is 29.

The square root of 2252415233 is about 47459.6168652887. The cubic root of 2252415233 is about 1310.8393961863.

Adding to 2252415233 its reverse (3325142522), we get a palindrome (5577557755).

The spelling of 2252415233 in words is "two billion, two hundred fifty-two million, four hundred fifteen thousand, two hundred thirty-three".