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242205313 = 7731573019
BaseRepresentation
bin11100110111111…
…00001010000001
3121212202022020011
432123330022001
5444001032223
640011144521
76000465640
oct1633741201
9555668204
10242205313
1111479a489
1269145141
133b24386c
142424b357
15163e480d
hexe6fc281

242205313 has 16 divisors (see below), whose sum is σ = 282478720. Its totient is φ = 203389056.

The previous prime is 242205289. The next prime is 242205317. The reversal of 242205313 is 313502242.

242205313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242205313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242205317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78718 + ... + 81736.

It is an arithmetic number, because the mean of its divisors is an integer number (17654920).

Almost surely, 2242205313 is an apocalyptic number.

It is an amenable number.

242205313 is a deficient number, since it is larger than the sum of its proper divisors (40273407).

242205313 is a wasteful number, since it uses less digits than its factorization.

242205313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256.

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 242205313 is about 15562.9467967991. The cubic root of 242205313 is about 623.3441506951.

Adding to 242205313 its reverse (313502242), we get a palindrome (555707555).

The spelling of 242205313 in words is "two hundred forty-two million, two hundred five thousand, three hundred thirteen".

Divisors: 1 7 73 157 511 1099 3019 11461 21133 80227 220387 473983 1542709 3317881 34600759 242205313