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242205314 = 21397137701
BaseRepresentation
bin11100110111111…
…00001010000010
3121212202022020012
432123330022002
5444001032224
640011144522
76000465641
oct1633741202
9555668205
10242205314
1111479a48a
1269145142
133b243870
142424b358
15163e480e
hexe6fc282

242205314 has 32 divisors (see below), whose sum is σ = 398741616. Its totient is φ = 109670400.

The previous prime is 242205289. The next prime is 242205317. The reversal of 242205314 is 413502242.

It is a happy number.

242205314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 127351225 + 114854089 = 11285^2 + 10717^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242205314.

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, 345164 + ... + 345864.

Almost surely, 2242205314 is an apocalyptic number.

242205314 is a deficient number, since it is larger than the sum of its proper divisors (156536302).

242205314 is a wasteful number, since it uses less digits than its factorization.

242205314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 242205314 is about 15562.9468289267. The cubic root of 242205314 is about 623.3441515530.

Adding to 242205314 its reverse (413502242), we get a palindrome (655707556).

The spelling of 242205314 in words is "two hundred forty-two million, two hundred five thousand, three hundred fourteen".

Divisors: 1 2 13 26 97 137 194 274 701 1261 1402 1781 2522 3562 9113 13289 18226 26578 67997 96037 135994 172757 192074 345514 883961 1248481 1767922 2496962 9315589 18631178 121102657 242205314