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242231130 = 232517267139
BaseRepresentation
bin11100111000000…
…10011101011010
3121212210121122100
432130002131122
5444002344010
640011504230
76000634131
oct1634023532
9555717570
10242231130
11114807919
1269158076
133b25253b
1424256918
15163ec2c0
hexe70275a

242231130 has 144 divisors (see below), whose sum is σ = 683897760. Its totient is φ = 59457024.

The previous prime is 242231047. The next prime is 242231131. The reversal of 242231130 is 31132242.

242231130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242231131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1742601 + ... + 1742739.

It is an arithmetic number, because the mean of its divisors is an integer number (4749290).

Almost surely, 2242231130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341948880).

242231130 is an abundant number, since it is smaller than the sum of its proper divisors (441666630).

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

242231130 is a wasteful number, since it uses less digits than its factorization.

242231130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

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

The square root of 242231130 is about 15563.7762127319. The cubic root of 242231130 is about 623.3662976139.

Adding to 242231130 its reverse (31132242), we get a palindrome (273363372).

The spelling of 242231130 in words is "two hundred forty-two million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 67 85 90 102 134 139 153 170 201 255 278 289 306 335 402 417 510 578 603 670 695 765 834 867 1005 1139 1206 1251 1390 1445 1530 1734 2010 2085 2278 2363 2502 2601 2890 3015 3417 4170 4335 4726 5202 5695 6030 6255 6834 7089 8670 9313 10251 11390 11815 12510 13005 14178 17085 18626 19363 20502 21267 23630 26010 27939 34170 35445 38726 40171 42534 46565 51255 55878 58089 70890 80342 83817 93130 96815 102510 106335 116178 120513 139695 158321 167634 174267 193630 200855 212670 241026 279390 290445 316642 348534 361539 401710 419085 474963 580890 602565 723078 791605 838170 871335 949926 1205130 1424889 1583210 1742670 1807695 2374815 2691457 2849778 3615390 4749630 5382914 7124445 8074371 13457285 14248890 16148742 24223113 26914570 40371855 48446226 80743710 121115565 242231130