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242133540 = 223511366869
BaseRepresentation
bin11100110111010…
…10101000100100
3121212121122202220
432123222220210
5443441233130
640005432340
76000046455
oct1633525044
9555548686
10242133540
11114750570
126910b6b0
133b219cac
142422d12c
15163cd410
hexe6eaa24

242133540 has 48 divisors (see below), whose sum is σ = 739609920. Its totient is φ = 58698880.

The previous prime is 242133527. The next prime is 242133547. The reversal of 242133540 is 45331242.

242133540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242133540.

It is not an unprimeable number, because it can be changed into a prime (242133547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182775 + ... + 184094.

It is an arithmetic number, because the mean of its divisors is an integer number (15408540).

Almost surely, 2242133540 is an apocalyptic number.

242133540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242133540 is an abundant number, since it is smaller than the sum of its proper divisors (497476380).

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

242133540 is a wasteful number, since it uses less digits than its factorization.

242133540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366892 (or 366890 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 242133540 is about 15560.6407323092. The cubic root of 242133540 is about 623.2825724978.

Adding to 242133540 its reverse (45331242), we get a palindrome (287464782).

The spelling of 242133540 in words is "two hundred forty-two million, one hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 366869 733738 1100607 1467476 1834345 2201214 3668690 4035559 4402428 5503035 7337380 8071118 11006070 12106677 16142236 20177795 22012140 24213354 40355590 48426708 60533385 80711180 121066770 242133540