Search a number
-
+
38225729 is a prime number
BaseRepresentation
bin1001000111010…
…0011101000001
32122221001211202
42101310131001
534241210404
63443150545
7642625163
oct221643501
978831752
1038225729
111a639613
1210975455
137bc5099
145110933
15355121e
hex2474741

38225729 has 2 divisors, whose sum is σ = 38225730. Its totient is φ = 38225728.

The previous prime is 38225713. The next prime is 38225731. The reversal of 38225729 is 92752283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26801329 + 11424400 = 5177^2 + 3380^2 .

It is a cyclic number.

It is not a de Polignac number, because 38225729 - 24 = 38225713 is a prime.

It is a super-2 number, since 2×382257292 = 2922412715162882, which contains 22 as substring.

Together with 38225731, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 38225692 and 38225701.

It is not a weakly prime, because it can be changed into another prime (38225749) 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, 19112864 + 19112865.

It is an arithmetic number, because the mean of its divisors is an integer number (19112865).

Almost surely, 238225729 is an apocalyptic number.

It is an amenable number.

38225729 is a deficient number, since it is larger than the sum of its proper divisors (1).

38225729 is an equidigital number, since it uses as much as digits as its factorization.

38225729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 38.

The square root of 38225729 is about 6182.6959330053. The cubic root of 38225729 is about 336.8619245513.

The spelling of 38225729 in words is "thirty-eight million, two hundred twenty-five thousand, seven hundred twenty-nine".