Search a number
-
+
1002225937 is a prime number
BaseRepresentation
bin111011101111001…
…100000100010001
32120211212100112011
4323233030010101
54023032212222
6243241102521
733556531336
oct7357140421
92524770464
101002225937
114748041a9
1223b787a41
1312c8393cb
149716a98d
155cec0c77
hex3bbcc111

1002225937 has 2 divisors, whose sum is σ = 1002225938. Its totient is φ = 1002225936.

The previous prime is 1002225911. The next prime is 1002225949. The reversal of 1002225937 is 7395222001.

1002225937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 554649601 + 447576336 = 23551^2 + 21156^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002225937 - 211 = 1002223889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002225899 and 1002225908.

It is not a weakly prime, because it can be changed into another prime (1002225907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501112968 + 501112969.

It is an arithmetic number, because the mean of its divisors is an integer number (501112969).

Almost surely, 21002225937 is an apocalyptic number.

It is an amenable number.

1002225937 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002225937 is an equidigital number, since it uses as much as digits as its factorization.

1002225937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1002225937 is about 31657.9521921428. The cubic root of 1002225937 is about 1000.7414291470.

Adding to 1002225937 its reverse (7395222001), we get a palindrome (8397447938).

The spelling of 1002225937 in words is "one billion, two million, two hundred twenty-five thousand, nine hundred thirty-seven".