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242302005 = 325114111939
BaseRepresentation
bin11100111000100…
…11110000110101
3121212221012212100
432130103300311
5444012131010
640013212313
76001350561
oct1634236065
9555835770
10242302005
111148560a0
1269191099
133b27888a
14242746a1
15164132c0
hexe713c35

242302005 has 48 divisors (see below), whose sum is σ = 469385280. Its totient is φ = 114604800.

The previous prime is 242301977. The next prime is 242302007. The reversal of 242302005 is 500203242.

It is not a de Polignac number, because 242302005 - 25 = 242301973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242302007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14326 + ... + 26264.

It is an arithmetic number, because the mean of its divisors is an integer number (9778860).

Almost surely, 2242302005 is an apocalyptic number.

It is an amenable number.

242302005 is a deficient number, since it is larger than the sum of its proper divisors (227083275).

242302005 is a wasteful number, since it uses less digits than its factorization.

242302005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 242302005 is about 15566.0529679171. The cubic root of 242302005 is about 623.4270891095.

Adding to 242302005 its reverse (500203242), we get a palindrome (742505247).

The spelling of 242302005 in words is "two hundred forty-two million, three hundred two thousand, five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 123 165 205 369 451 495 615 1353 1845 2255 4059 6765 11939 20295 35817 59695 107451 131329 179085 393987 489499 537255 656645 1181961 1468497 1969935 2447495 4405491 5384489 5909805 7342485 16153467 22027455 26922445 48460401 80767335 242302005