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242330112 = 2932431223
BaseRepresentation
bin11100111000110…
…10101000000000
3121212222122102100
432130122220000
5444014030422
640013550400
76001525533
oct1634325000
9555878370
10242330112
11114875222
12691a5400
133b2885cb
1424280a1a
151641b7ac
hexe71aa00

242330112 has 120 divisors (see below), whose sum is σ = 716230944. Its totient is φ = 78833664.

The previous prime is 242330111. The next prime is 242330117. The reversal of 242330112 is 211033242.

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

It is not an unprimeable number, because it can be changed into a prime (242330111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197533 + ... + 198755.

Almost surely, 2242330112 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 242330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358115472).

242330112 is an abundant number, since it is smaller than the sum of its proper divisors (473900832).

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

242330112 is a wasteful number, since it uses less digits than its factorization.

242330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242330112 is about 15566.9557717622. The cubic root of 242330112 is about 623.4511939970.

Adding to 242330112 its reverse (211033242), we get a palindrome (453363354).

The spelling of 242330112 in words is "two hundred forty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1032 1152 1223 1376 1536 1548 2064 2304 2446 2752 3096 3669 4128 4608 4892 5504 6192 7338 8256 9784 11007 11008 12384 14676 16512 19568 22014 22016 24768 29352 33024 39136 44028 49536 52589 58704 66048 78272 88056 99072 105178 117408 156544 157767 176112 198144 210356 234816 313088 315534 352224 420712 469632 473301 626176 631068 704448 841424 939264 946602 1262136 1408896 1682848 1878528 1893204 2524272 2817792 3365696 3786408 5048544 5635584 6731392 7572816 10097088 13462784 15145632 20194176 26925568 30291264 40388352 60582528 80776704 121165056 242330112