Search a number
-
+
36200237 is a prime number
BaseRepresentation
bin1000101000010…
…1111100101101
32112010011101112
42022011330231
533231401422
63331521405
7616461023
oct212057455
975104345
1036200237
1119485857
1210159265
137666178
144b44713
1532a0ee2
hex2285f2d

36200237 has 2 divisors, whose sum is σ = 36200238. Its totient is φ = 36200236.

The previous prime is 36200231. The next prime is 36200243. The reversal of 36200237 is 73200263.

36200237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (36200231) and next prime (36200243).

It can be written as a sum of positive squares in only one way, i.e., 36168196 + 32041 = 6014^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 36200237 - 24 = 36200221 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36200231) 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, 18100118 + 18100119.

It is an arithmetic number, because the mean of its divisors is an integer number (18100119).

Almost surely, 236200237 is an apocalyptic number.

It is an amenable number.

36200237 is a deficient number, since it is larger than the sum of its proper divisors (1).

36200237 is an equidigital number, since it uses as much as digits as its factorization.

36200237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 36200237 is about 6016.6632779307. The cubic root of 36200237 is about 330.8037859491.

The spelling of 36200237 in words is "thirty-six million, two hundred thousand, two hundred thirty-seven".