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242332112 = 24115383313
BaseRepresentation
bin11100111000110…
…11000111010000
3121212222202011102
432130123013100
5444014111422
640014003532
76001534421
oct1634330720
9555882142
10242332112
11114876780
12691a65a8
133b2894a9
1424281648
151641c192
hexe71b1d0

242332112 has 80 divisors (see below), whose sum is σ = 529841088. Its totient is φ = 106429440.

The previous prime is 242332087. The next prime is 242332157. The reversal of 242332112 is 211233242.

242332112 is digitally balanced in base 2, 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 15 ways as a sum of consecutive naturals, for example, 774068 + ... + 774380.

Almost surely, 2242332112 is an apocalyptic number.

242332112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264920544).

242332112 is an abundant number, since it is smaller than the sum of its proper divisors (287508976).

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

242332112 is a wasteful number, since it uses less digits than its factorization.

242332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 242332112 is about 15567.0200102653. The cubic root of 242332112 is about 623.4529091490.

Adding to 242332112 its reverse (211233242), we get a palindrome (453565354).

The spelling of 242332112 in words is "two hundred forty-two million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 83 88 106 166 176 212 313 332 424 583 626 664 848 913 1166 1252 1328 1826 2332 2504 3443 3652 4399 4664 5008 6886 7304 8798 9328 13772 14608 16589 17596 25979 27544 33178 35192 48389 51958 55088 66356 70384 96778 103916 132712 182479 193556 207832 265424 285769 364958 387112 415664 571538 729916 774224 1143076 1376887 1459832 2286152 2753774 2919664 4572304 5507548 11015096 15145757 22030192 30291514 60583028 121166056 242332112