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242112294 = 23331612371
BaseRepresentation
bin11100110111001…
…01011100100110
3121212120120122000
432123211130212
5443440043134
640005150130
75666630514
oct1633453446
9555516560
10242112294
11114736606
12690bb346
133b210418
14242254b4
15163c6e99
hexe6e5726

242112294 has 64 divisors (see below), whose sum is σ = 564725760. Its totient is φ = 76788000.

The previous prime is 242112293. The next prime is 242112313. The reversal of 242112294 is 492211242.

It is a super-4 number, since 4×2421122944 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242112293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100929 + ... + 103299.

It is an arithmetic number, because the mean of its divisors is an integer number (8823840).

Almost surely, 2242112294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242112294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282362880).

242112294 is an abundant number, since it is smaller than the sum of its proper divisors (322613466).

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

242112294 is a wasteful number, since it uses less digits than its factorization.

242112294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2468 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 242112294 is about 15559.9580333624. The cubic root of 242112294 is about 623.2643419945.

The spelling of 242112294 in words is "two hundred forty-two million, one hundred twelve thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 61 62 93 122 183 186 279 366 549 558 837 1098 1647 1674 1891 2371 3294 3782 4742 5673 7113 11346 14226 17019 21339 34038 42678 51057 64017 73501 102114 128034 144631 147002 220503 289262 433893 441006 661509 867786 1301679 1323018 1984527 2603358 3905037 3969054 4483561 7810074 8967122 13450683 26901366 40352049 80704098 121056147 242112294