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247240801 is a prime number
BaseRepresentation
bin11101011110010…
…01100001100001
3122020020010121201
432233021201201
51001243201201
640311121201
76061340443
oct1657114141
9566203551
10247240801
11117619745
126a973201
133c2b7842
1424b9c493
1516a8b801
hexebc9861

247240801 has 2 divisors, whose sum is σ = 247240802. Its totient is φ = 247240800.

The previous prime is 247240789. The next prime is 247240811. The reversal of 247240801 is 108042742.

247240801 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., 193877776 + 53363025 = 13924^2 + 7305^2 .

It is a cyclic number.

It is not a de Polignac number, because 247240801 - 221 = 245143649 is a prime.

It is a super-2 number, since 2×2472408012 = 122256027358243202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247240801.

It is not a weakly prime, because it can be changed into another prime (247240811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123620400 + 123620401.

It is an arithmetic number, because the mean of its divisors is an integer number (123620401).

Almost surely, 2247240801 is an apocalyptic number.

It is an amenable number.

247240801 is a deficient number, since it is larger than the sum of its proper divisors (1).

247240801 is an equidigital number, since it uses as much as digits as its factorization.

247240801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 247240801 is about 15723.8926796134. The cubic root of 247240801 is about 627.6343641203.

The spelling of 247240801 in words is "two hundred forty-seven million, two hundred forty thousand, eight hundred one".