Search a number
-
+
2401224193 is a prime number
BaseRepresentation
bin1000111100011111…
…1100011000000001
320012100022211100101
42033013330120001
514404203133233
61034134322401
7113335032424
oct21707743001
96170284311
102401224193
111022479305
125701b9401
132c3626c24
1418ac9b9bb
15e0c18c7d
hex8f1fc601

2401224193 has 2 divisors, whose sum is σ = 2401224194. Its totient is φ = 2401224192.

The previous prime is 2401224167. The next prime is 2401224223. The reversal of 2401224193 is 3914221042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2310917184 + 90307009 = 48072^2 + 9503^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2401224193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2401224493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200612096 + 1200612097.

It is an arithmetic number, because the mean of its divisors is an integer number (1200612097).

Almost surely, 22401224193 is an apocalyptic number.

It is an amenable number.

2401224193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2401224193 is an equidigital number, since it uses as much as digits as its factorization.

2401224193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2401224193 is about 49002.2876302729. The cubic root of 2401224193 is about 1339.0935045619.

It can be divided in two parts, 24012 and 24193, that added together give a triangular number (48205 = T310).

The spelling of 2401224193 in words is "two billion, four hundred one million, two hundred twenty-four thousand, one hundred ninety-three".