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242216577 = 3226912953
BaseRepresentation
bin11100110111111…
…10111010000001
3121212202212200100
432123332322001
5444001412302
640011313013
76000543531
oct1633767201
9555685610
10242216577
111147a7999
126914b769
133b248a25
14242514c1
15163e7d1c
hexe6fee81

242216577 has 6 divisors (see below), whose sum is σ = 349868402. Its totient is φ = 161477712.

The previous prime is 242216567. The next prime is 242216599. The reversal of 242216577 is 775612242.

It is a happy number.

242216577 is a `hidden beast` number, since 2 + 422 + 165 + 77 = 666.

It can be written as a sum of positive squares in only one way, i.e., 206324496 + 35892081 = 14364^2 + 5991^2 .

It is not a de Polignac number, because 242216577 - 28 = 242216321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242216537) 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 5 ways as a sum of consecutive naturals, for example, 13456468 + ... + 13456485.

Almost surely, 2242216577 is an apocalyptic number.

It is an amenable number.

242216577 is a deficient number, since it is larger than the sum of its proper divisors (107651825).

242216577 is a wasteful number, since it uses less digits than its factorization.

242216577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26912959 (or 26912956 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 242216577 is about 15563.3086777844. The cubic root of 242216577 is about 623.3538136261.

It can be divided in two parts, 2422165 and 77, that added together give a palindrome (2422242).

The spelling of 242216577 in words is "two hundred forty-two million, two hundred sixteen thousand, five hundred seventy-seven".

Divisors: 1 3 9 26912953 80738859 242216577