Search a number
-
+
1223856001 is a prime number
BaseRepresentation
bin100100011110010…
…1000111110000001
310011021220022211001
41020330220332001
510001301343001
6321235252001
742220414204
oct11074507601
93137808731
101223856001
11578920145
122a1a4a001
13166727a64
14b877d93b
157269e001
hex48f28f81

1223856001 has 2 divisors, whose sum is σ = 1223856002. Its totient is φ = 1223856000.

The previous prime is 1223855957. The next prime is 1223856031. The reversal of 1223856001 is 1006583221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 950118976 + 273737025 = 30824^2 + 16545^2 .

It is a cyclic number.

It is not a de Polignac number, because 1223856001 - 213 = 1223847809 is a prime.

It is a super-2 number, since 2×12238560012 = 2995647022367424002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1223856031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611928000 + 611928001.

It is an arithmetic number, because the mean of its divisors is an integer number (611928001).

Almost surely, 21223856001 is an apocalyptic number.

It is an amenable number.

1223856001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223856001 is an equidigital number, since it uses as much as digits as its factorization.

1223856001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1223856001 is about 34983.6533398100. The cubic root of 1223856001 is about 1069.6542980216.

The spelling of 1223856001 in words is "one billion, two hundred twenty-three million, eight hundred fifty-six thousand, one".