Search a number
-
+
2364559157 is a prime number
BaseRepresentation
bin1000110011110000…
…0100111100110101
320002210100001101002
42030330010330311
514320311343112
61030344413045
7112411264322
oct21474047465
96083301332
102364559157
111003806324
1255ba77185
132b8b5a33c
14186075b49
15dc8c51c2
hex8cf04f35

2364559157 has 2 divisors, whose sum is σ = 2364559158. Its totient is φ = 2364559156.

The previous prime is 2364559147. The next prime is 2364559159. The reversal of 2364559157 is 7519554632.

2364559157 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., 2266331236 + 98227921 = 47606^2 + 9911^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2364559157 is a prime.

It is a super-2 number, since 2×23645591572 = 11182280013905101298, which contains 22 as substring.

Together with 2364559159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2364559159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1182279578 + 1182279579.

It is an arithmetic number, because the mean of its divisors is an integer number (1182279579).

Almost surely, 22364559157 is an apocalyptic number.

It is an amenable number.

2364559157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2364559157 is an equidigital number, since it uses as much as digits as its factorization.

2364559157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1134000, while the sum is 47.

The square root of 2364559157 is about 48626.7329459835. The cubic root of 2364559157 is about 1332.2428391864.

The spelling of 2364559157 in words is "two billion, three hundred sixty-four million, five hundred fifty-nine thousand, one hundred fifty-seven".