Search a number
-
+
2240202200417 is a prime number
BaseRepresentation
bin100000100110010110011…
…101001101010101100001
321221011100112122220210022
4200212112131031111201
5243200413230403132
64433045031443225
7320564204343326
oct40462635152541
97834315586708
102240202200417
11794078816205
123021bb226515
131333337b07cc
147a5d7d34b4d
153d415a79e12
hex2099674d561

2240202200417 has 2 divisors, whose sum is σ = 2240202200418. Its totient is φ = 2240202200416.

The previous prime is 2240202200399. The next prime is 2240202200497. The reversal of 2240202200417 is 7140022020422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1788200119696 + 452002080721 = 1337236^2 + 672311^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240202200417 - 226 = 2240135091553 is a prime.

It is not a weakly prime, because it can be changed into another prime (2240202200497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120101100208 + 1120101100209.

It is an arithmetic number, because the mean of its divisors is an integer number (1120101100209).

Almost surely, 22240202200417 is an apocalyptic number.

It is an amenable number.

2240202200417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240202200417 is an equidigital number, since it uses as much as digits as its factorization.

2240202200417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 26.

Adding to 2240202200417 its reverse (7140022020422), we get a palindrome (9380224220839).

The spelling of 2240202200417 in words is "two trillion, two hundred forty billion, two hundred two million, two hundred thousand, four hundred seventeen".