Search a number
-
+
2245205304333 = 321410411768757
BaseRepresentation
bin100000101011000000101…
…010100010010000001101
321221122021012212221010100
4200223000222202100031
5243241140024214313
64435233313401313
7321132165126165
oct40530052422015
97848235787110
102245205304333
11796205953232
12303176869239
13133950188124
147a9505a35a5
153d609de6173
hex20ac0aa240d

2245205304333 has 12 divisors (see below), whose sum is σ = 3243099155868. Its totient is φ = 1496792077440.

The previous prime is 2245205304289. The next prime is 2245205304337. The reversal of 2245205304333 is 3334035025422.

It is a happy number.

2245205304333 is a `hidden beast` number, since 2 + 2 + 4 + 52 + 0 + 530 + 43 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 909835545609 + 1335369758724 = 953853^2 + 1155582^2 .

It is not a de Polignac number, because 2245205304333 - 216 = 2245205238797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245205304337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384991 + ... + 2153747.

It is an arithmetic number, because the mean of its divisors is an integer number (270258262989).

Almost surely, 22245205304333 is an apocalyptic number.

It is an amenable number.

2245205304333 is a deficient number, since it is larger than the sum of its proper divisors (997893851535).

2245205304333 is a wasteful number, since it uses less digits than its factorization.

2245205304333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909804 (or 1909801 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 2245205304333 in words is "two trillion, two hundred forty-five billion, two hundred five million, three hundred four thousand, three hundred thirty-three".

Divisors: 1 3 9 141041 423123 1269369 1768757 5306271 15918813 249467256037 748401768111 2245205304333