Search a number
-
+
23006257 is a prime number
BaseRepresentation
bin101011111000…
…0110000110001
31121021211122121
41113300300301
521342200012
62141034241
7366356431
oct127606061
947254577
1023006257
1111a93a3a
127855981
1349c6891
1430ac2c1
152046a07
hex15f0c31

23006257 has 2 divisors, whose sum is σ = 23006258. Its totient is φ = 23006256.

The previous prime is 23006239. The next prime is 23006261. The reversal of 23006257 is 75260032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20214016 + 2792241 = 4496^2 + 1671^2 .

It is a cyclic number.

It is not a de Polignac number, because 23006257 - 219 = 22481969 is a prime.

It is a super-2 number, since 2×230062572 = 1058575722300098, which contains 22 as substring.

It is equal to p1448602 and since 23006257 and 1448602 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (23006227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11503128 + 11503129.

It is an arithmetic number, because the mean of its divisors is an integer number (11503129).

Almost surely, 223006257 is an apocalyptic number.

It is an amenable number.

23006257 is a deficient number, since it is larger than the sum of its proper divisors (1).

23006257 is an equidigital number, since it uses as much as digits as its factorization.

23006257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 23006257 is about 4796.4838162971. The cubic root of 23006257 is about 284.4124841625.

Adding to 23006257 its reverse (75260032), we get a palindrome (98266289).

The spelling of 23006257 in words is "twenty-three million, six thousand, two hundred fifty-seven".