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242331056 = 241121737199
BaseRepresentation
bin11100111000110…
…10110110110000
3121212222200201022
432130122312300
5444014043211
640013555012
76001531352
oct1634326660
9555880638
10242331056
11114875a00
12691a5a68
133b288b76
14242810d2
151641bbdb
hexe71adb0

242331056 has 120 divisors (see below), whose sum is σ = 564026400. Its totient is φ = 100362240.

The previous prime is 242331031. The next prime is 242331083. The reversal of 242331056 is 650133242.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217645 + ... + 1217843.

It is an arithmetic number, because the mean of its divisors is an integer number (4700220).

Almost surely, 2242331056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242331056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282013200).

242331056 is an abundant number, since it is smaller than the sum of its proper divisors (321695344).

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

242331056 is a wasteful number, since it uses less digits than its factorization.

242331056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 242331056 is about 15566.9860923687. The cubic root of 242331056 is about 623.4520035499.

Adding to 242331056 its reverse (650133242), we get a palindrome (892464298).

The spelling of 242331056 in words is "two hundred forty-two million, three hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 121 136 148 176 187 199 242 272 296 374 398 407 484 592 629 748 796 814 968 1258 1496 1592 1628 1936 2057 2189 2516 2992 3184 3256 3383 4114 4378 4477 5032 6512 6766 6919 7363 8228 8756 8954 10064 13532 13838 14726 16456 17512 17908 24079 27064 27676 29452 32912 35024 35816 37213 48158 54128 55352 58904 71632 74426 76109 80993 96316 110704 117808 125171 148852 152218 161986 192632 250342 297704 304436 323972 385264 409343 500684 595408 608872 647944 818686 890923 1001368 1217744 1295888 1376881 1637372 1781846 2002736 2753762 3274744 3563692 5507524 6549488 7127384 11015048 14254768 15145691 22030096 30291382 60582764 121165528 242331056