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2242540021 is a prime number
BaseRepresentation
bin1000010110101010…
…0111000111110101
312210021201211120211
42011222213013311
514043042240041
61010305225421
7106400163361
oct20552470765
95707654524
102242540021
11a50945567
12527032271
132997a7377
14173b922a1
15d1d21481
hex85aa71f5

2242540021 has 2 divisors, whose sum is σ = 2242540022. Its totient is φ = 2242540020.

The previous prime is 2242539967. The next prime is 2242540051. The reversal of 2242540021 is 1200452422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2179956100 + 62583921 = 46690^2 + 7911^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2242540021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2242539974 and 2242540001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2242540051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121270010 + 1121270011.

It is an arithmetic number, because the mean of its divisors is an integer number (1121270011).

Almost surely, 22242540021 is an apocalyptic number.

It is an amenable number.

2242540021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242540021 is an equidigital number, since it uses as much as digits as its factorization.

2242540021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2242540021 is about 47355.4645315617. The cubic root of 2242540021 is about 1308.9208954223.

Adding to 2242540021 its reverse (1200452422), we get a palindrome (3442992443).

The spelling of 2242540021 in words is "two billion, two hundred forty-two million, five hundred forty thousand, twenty-one".