Search a number
-
+
2242905641 is a prime number
BaseRepresentation
bin1000010110110000…
…0000011000101001
312210022102102010022
42011230000120221
514043140440031
61010321130225
7106403245334
oct20554003051
95708372108
102242905641
11a51075229
12527189975
132998a4902
14173c4961b
15d1d9497b
hex85b00629

2242905641 has 2 divisors, whose sum is σ = 2242905642. Its totient is φ = 2242905640.

The previous prime is 2242905607. The next prime is 2242905647. The reversal of 2242905641 is 1465092422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1898432041 + 344473600 = 43571^2 + 18560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2242905641 is a prime.

It is not a weakly prime, because it can be changed into another prime (2242905647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121452820 + 1121452821.

It is an arithmetic number, because the mean of its divisors is an integer number (1121452821).

Almost surely, 22242905641 is an apocalyptic number.

It is an amenable number.

2242905641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242905641 is an equidigital number, since it uses as much as digits as its factorization.

2242905641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2242905641 is about 47359.3247523653. The cubic root of 2242905641 is about 1308.9920263196.

The spelling of 2242905641 in words is "two billion, two hundred forty-two million, nine hundred five thousand, six hundred forty-one".