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242305110 = 232522312073
BaseRepresentation
bin11100111000101…
…00100001010110
3121212221101010100
432130110201112
5444012230420
640013234530
76001362615
oct1634244126
9555841110
10242305110
11114858463
1269192a46
133b27a108
142427587c
1516414190
hexe714856

242305110 has 48 divisors (see below), whose sum is σ = 632870784. Its totient is φ = 64319616.

The previous prime is 242305103. The next prime is 242305111. The reversal of 242305110 is 11503242.

It is a super-2 number, since 2×2423051102 = 117423532664224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242305111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14034 + ... + 26106.

It is an arithmetic number, because the mean of its divisors is an integer number (13184808).

Almost surely, 2242305110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242305110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316435392).

242305110 is an abundant number, since it is smaller than the sum of its proper divisors (390565674).

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

242305110 is a wasteful number, since it uses less digits than its factorization.

242305110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 242305110 is about 15566.1527038636. The cubic root of 242305110 is about 623.4297520849.

Adding to 242305110 its reverse (11503242), we get a palindrome (253808352).

The spelling of 242305110 in words is "two hundred forty-two million, three hundred five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 3345 4014 6690 10035 12073 20070 24146 36219 60365 72438 108657 120730 181095 217314 362190 543285 1086570 2692279 5384558 8076837 13461395 16153674 24230511 26922790 40384185 48461022 80768370 121152555 242305110