Search a number
-
+
242210917 = 131719371559
BaseRepresentation
bin11100110111111…
…01100001100101
3121212202120220201
432123331201211
5444001222132
640011230501
76000521164
oct1633754145
9555676821
10242210917
111147a3713
1269148431
133b246290
142424d3db
15163e62e7
hexe6fd865

242210917 has 32 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 193840128.

The previous prime is 242210897. The next prime is 242210923. The reversal of 242210917 is 719012242.

It is not a de Polignac number, because 242210917 - 27 = 242210789 is a prime.

It is a super-2 number, since 2×2422109172 = 117332256627961778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242210957) 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 in 31 ways as a sum of consecutive naturals, for example, 154584 + ... + 156142.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2242210917 is an apocalyptic number.

It is an amenable number.

242210917 is a deficient number, since it is larger than the sum of its proper divisors (56560283).

242210917 is a wasteful number, since it uses less digits than its factorization.

242210917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 242210917 is about 15563.1268387815. The cubic root of 242210917 is about 623.3489581780.

The spelling of 242210917 in words is "two hundred forty-two million, two hundred ten thousand, nine hundred seventeen".

Divisors: 1 13 17 19 37 221 247 323 481 629 703 1559 4199 8177 9139 11951 20267 26503 29621 57683 155363 344539 385073 503557 749879 980611 1095977 6546241 12747943 14247701 18631609 242210917