Search a number
-
+
2279624957 is a prime number
BaseRepresentation
bin1000011111100000…
…0101000011111101
312212212111221112222
42013320011003331
514132040444312
61014112135125
7110330330621
oct20770050375
95785457488
102279624957
11a6a874a75
125375374a5
132a439010c
14178a87181
15d51e9672
hex87e050fd

2279624957 has 2 divisors, whose sum is σ = 2279624958. Its totient is φ = 2279624956.

The previous prime is 2279624899. The next prime is 2279624989. The reversal of 2279624957 is 7594269722.

2279624957 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., 1204506436 + 1075118521 = 34706^2 + 32789^2 .

It is a cyclic number.

It is not a de Polignac number, because 2279624957 - 226 = 2212516093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2279624899 and 2279624908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2279624357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1139812478 + 1139812479.

It is an arithmetic number, because the mean of its divisors is an integer number (1139812479).

Almost surely, 22279624957 is an apocalyptic number.

It is an amenable number.

2279624957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2279624957 is an equidigital number, since it uses as much as digits as its factorization.

2279624957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3810240, while the sum is 53.

The square root of 2279624957 is about 47745.4181780828. The cubic root of 2279624957 is about 1316.0967024356.

The spelling of 2279624957 in words is "two billion, two hundred seventy-nine million, six hundred twenty-four thousand, nine hundred fifty-seven".