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242012221 = 11217294057
BaseRepresentation
bin11100110110011…
…01000000111101
3121212101111100121
432123031000331
5443423342341
640003054541
75666032663
oct1633150075
9555344317
10242012221
11114678400
1269071451
133b1a69c9
14241dac33
15163a74d1
hexe6cd03d

242012221 has 24 divisors (see below), whose sum is σ = 291445560. Its totient is φ = 199879680.

The previous prime is 242012219. The next prime is 242012231. The reversal of 242012221 is 122210242.

It can be written as a sum of positive squares in 4 ways, for example, as 68062500 + 173949721 = 8250^2 + 13189^2 .

It is not a de Polignac number, because 242012221 - 21 = 242012219 is a prime.

It is a super-2 number, since 2×2420122212 = 117139830226705682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242012195 and 242012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242012231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57625 + ... + 61681.

It is an arithmetic number, because the mean of its divisors is an integer number (12143565).

Almost surely, 2242012221 is an apocalyptic number.

It is an amenable number.

242012221 is a deficient number, since it is larger than the sum of its proper divisors (49433339).

242012221 is a wasteful number, since it uses less digits than its factorization.

242012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 242012221 is about 15556.7419789620. The cubic root of 242012221 is about 623.1784582545.

Adding to 242012221 its reverse (122210242), we get a palindrome (364222463).

It can be divided in two parts, 2420 and 12221, that added together give a palindrome (14641).

The spelling of 242012221 in words is "two hundred forty-two million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 17 29 121 187 319 493 2057 3509 4057 5423 44627 59653 68969 117653 490897 758659 1294183 2000101 8345249 14236013 22001111 242012221