Search a number
-
+
2266442931841 = 1121368612
BaseRepresentation
bin100000111110110010100…
…001101001111010000001
322000200002022020012010221
4200332302201221322001
5244113133342304331
64453104533423041
7322513366025434
oct40766241517201
98020068205127
102266442931841
117a4213a49100
1230730319aa81
1313595609cc1a
147b9a6db181b
153de4e631711
hex20fb2869e81

2266442931841 has 9 divisors (see below), whose sum is σ = 2491232334339. Its totient is φ = 2060387610600.

The previous prime is 2266442931829. The next prime is 2266442931847. The reversal of 2266442931841 is 1481392446622.

The square root of 2266442931841 is 1505471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 458977795441 + 1807465136400 = 677479^2 + 1344420^2 .

It is a de Polignac number, because none of the positive numbers 2k-2266442931841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2266442931847) 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 in 8 ways as a sum of consecutive naturals, for example, 16491751 + ... + 16628611.

Almost surely, 22266442931841 is an apocalyptic number.

2266442931841 is the 1505471-st square number.

2266442931841 is the 752736-th centered octagonal number.

It is an amenable number.

2266442931841 is a deficient number, since it is larger than the sum of its proper divisors (224789402498).

2266442931841 is an frugal number, since it uses more digits than its factorization.

2266442931841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273744 (or 136872 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 52.

The spelling of 2266442931841 in words is "two trillion, two hundred sixty-six billion, four hundred forty-two million, nine hundred thirty-one thousand, eight hundred forty-one".

Divisors: 1 11 121 136861 1505471 16560181 18730933321 206040266531 2266442931841