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2252672137 is a prime number
BaseRepresentation
bin1000011001000101…
…0000110010001001
312210222210121020101
42012101100302021
514103141002022
61011310325401
7106552253152
oct20621206211
95728717211
102252672137
11a56635a11
1252a4b9861
1329b9140c1
1417526c929
15d2b73627
hex86450c89

2252672137 has 2 divisors, whose sum is σ = 2252672138. Its totient is φ = 2252672136.

The previous prime is 2252672131. The next prime is 2252672161. The reversal of 2252672137 is 7312762522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2140820361 + 111851776 = 46269^2 + 10576^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252672137 - 215 = 2252639369 is a prime.

It is a super-2 number, since 2×22526721372 = 10149063513632293538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2252672096 and 2252672105.

It is not a weakly prime, because it can be changed into another prime (2252672131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126336068 + 1126336069.

It is an arithmetic number, because the mean of its divisors is an integer number (1126336069).

Almost surely, 22252672137 is an apocalyptic number.

It is an amenable number.

2252672137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252672137 is an equidigital number, since it uses as much as digits as its factorization.

2252672137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 37.

The square root of 2252672137 is about 47462.3233417834. The cubic root of 2252672137 is about 1310.8892311481.

The spelling of 2252672137 in words is "two billion, two hundred fifty-two million, six hundred seventy-two thousand, one hundred thirty-seven".