Search a number
-
+
2159000617 is a prime number
BaseRepresentation
bin1000000010101111…
…1011110000101001
312120110112121001211
42000223323300221
513410201004432
6554122513121
7104334126304
oct20053736051
95513477054
102159000617
11a08777134
125030657a1
132853a7c77
14166a47b3b
15c981dd47
hex80afbc29

2159000617 has 2 divisors, whose sum is σ = 2159000618. Its totient is φ = 2159000616.

The previous prime is 2159000603. The next prime is 2159000621. The reversal of 2159000617 is 7160009512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1888858521 + 270142096 = 43461^2 + 16436^2 .

It is a cyclic number.

It is not a de Polignac number, because 2159000617 - 215 = 2158967849 is a prime.

It is a super-2 number, since 2×21590006172 = 9322567328412761378, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 2159000617 parts by 65711 straight cuts.

It is not a weakly prime, because it can be changed into another prime (2159000117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1079500308 + 1079500309.

It is an arithmetic number, because the mean of its divisors is an integer number (1079500309).

Almost surely, 22159000617 is an apocalyptic number.

It is an amenable number.

2159000617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2159000617 is an equidigital number, since it uses as much as digits as its factorization.

2159000617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 2159000617 is about 46465.0472613555. The cubic root of 2159000617 is about 1292.4614216531.

The spelling of 2159000617 in words is "two billion, one hundred fifty-nine million, six hundred seventeen", and thus it is an aban number.