Search a number
-
+
2240004001 is a prime number
BaseRepresentation
bin1000010110000011…
…1011111110100001
312210002221222211011
42011200323332201
514041420112001
61010135020521
7106336501624
oct20540737641
95702858734
102240004001
11a4a473184
1252620a741
132990c9c71
141736d1dbb
15d19bed51
hex8583bfa1

2240004001 has 2 divisors, whose sum is σ = 2240004002. Its totient is φ = 2240004000.

The previous prime is 2240003959. The next prime is 2240004007. The reversal of 2240004001 is 1004000422.

2240004001 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., 1144062976 + 1095941025 = 33824^2 + 33105^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240004001 - 27 = 2240003873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2240004007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120002000 + 1120002001.

It is an arithmetic number, because the mean of its divisors is an integer number (1120002001).

Almost surely, 22240004001 is an apocalyptic number.

It is an amenable number.

2240004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240004001 is an equidigital number, since it uses as much as digits as its factorization.

2240004001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2240004001 is about 47328.6805330552. The cubic root of 2240004001 is about 1308.4273030950.

Adding to 2240004001 its reverse (1004000422), we get a palindrome (3244004423).

The spelling of 2240004001 in words is "two billion, two hundred forty million, four thousand, one".