Search a number
-
+
2238015937 is a prime number
BaseRepresentation
bin1000010101100101…
…0110100111000001
312202222012222201011
42011121112213001
514040413002222
61010024240521
7106313551543
oct20531264701
95688188634
102238015937
11a49335553
12525610141
132988820b1
14173335693
15d172ac77
hex856569c1

2238015937 has 2 divisors, whose sum is σ = 2238015938. Its totient is φ = 2238015936.

The previous prime is 2238015919. The next prime is 2238015973. The reversal of 2238015937 is 7395108322.

Together with next prime (2238015973) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2212855681 + 25160256 = 47041^2 + 5016^2 .

It is a cyclic number.

It is not a de Polignac number, because 2238015937 - 27 = 2238015809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2238015937.

It is not a weakly prime, because it can be changed into another prime (2238015977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1119007968 + 1119007969.

It is an arithmetic number, because the mean of its divisors is an integer number (1119007969).

Almost surely, 22238015937 is an apocalyptic number.

It is an amenable number.

2238015937 is a deficient number, since it is larger than the sum of its proper divisors (1).

2238015937 is an equidigital number, since it uses as much as digits as its factorization.

2238015937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 2238015937 is about 47307.6731302650. The cubic root of 2238015937 is about 1308.0401003411.

It can be divided in two parts, 223801593 and 7, that added together give a square (223801600 = 149602).

The spelling of 2238015937 in words is "two billion, two hundred thirty-eight million, fifteen thousand, nine hundred thirty-seven".