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242245302 = 231341211359
BaseRepresentation
bin11100111000001…
…01111010110110
3121212211100002020
432130011322312
5444003322202
640012054010
76001023345
oct1634057266
9555740066
10242245302
11114817532
1269164306
133b258b20
142425bb5c
15164015bc
hexe705eb6

242245302 has 64 divisors (see below), whose sum is σ = 538513920. Its totient is φ = 72172800.

The previous prime is 242245279. The next prime is 242245313. The reversal of 242245302 is 203542242.

It is a happy number.

242245302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674599 + ... + 674957.

It is an arithmetic number, because the mean of its divisors is an integer number (8414280).

Almost surely, 2242245302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242245302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269256960).

242245302 is an abundant number, since it is smaller than the sum of its proper divisors (296268618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242245302 is a wasteful number, since it uses less digits than its factorization.

242245302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 242245302 is about 15564.2314940379. The cubic root of 242245302 is about 623.3784542882.

Adding to 242245302 its reverse (203542242), we get a palindrome (445787544).

The spelling of 242245302 in words is "two hundred forty-two million, two hundred forty-five thousand, three hundred two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 211 246 359 422 533 633 718 1066 1077 1266 1599 2154 2743 3198 4667 5486 8229 8651 9334 14001 14719 16458 17302 25953 28002 29438 44157 51906 75749 88314 112463 151498 191347 224926 227247 337389 382694 454494 574041 674778 984737 1148082 1969474 2954211 3105709 5908422 6211418 9317127 18634254 40374217 80748434 121122651 242245302