Search a number
-
+
2242664001 = 321877132757
BaseRepresentation
bin1000010110101100…
…0101011001000001
312210021222010122200
42011223011121001
514043110222001
61010312023413
7106401221004
oct20553053101
95707863580
102242664001
11a50a1a726
12527091b69
1329981b926
14173bc553b
15d1d48086
hex85ac5641

2242664001 has 12 divisors (see below), whose sum is σ = 3241153812. Its totient is φ = 1494301536.

The previous prime is 2242663981. The next prime is 2242664003. The reversal of 2242664001 is 1004662422.

It can be written as a sum of positive squares in 2 ways, for example, as 495507600 + 1747156401 = 22260^2 + 41799^2 .

It is not a de Polignac number, because 2242664001 - 26 = 2242663937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2242664003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49486 + ... + 83271.

It is an arithmetic number, because the mean of its divisors is an integer number (270096151).

Almost surely, 22242664001 is an apocalyptic number.

It is an amenable number.

2242664001 is a deficient number, since it is larger than the sum of its proper divisors (998489811).

2242664001 is a wasteful number, since it uses less digits than its factorization.

2242664001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134640 (or 134637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2242664001 is about 47356.7735493034. The cubic root of 2242664001 is about 1308.9450164369.

The spelling of 2242664001 in words is "two billion, two hundred forty-two million, six hundred sixty-four thousand, one".

Divisors: 1 3 9 1877 5631 16893 132757 398271 1194813 249184889 747554667 2242664001