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242033420500 = 225310122920929
BaseRepresentation
bin1110000101101001010…
…0001110100011010100
3212010201201120200112021
43201122110032203110
512431141023424000
6303104424102524
723325546062314
oct3413224164324
9763651520467
10242033420500
1193711613153
123aaa8604a44
1319a9274a921
14ba00767444
15646872111a
hex385a50e8d4

242033420500 has 96 divisors (see below), whose sum is σ = 536191437600. Its totient is φ = 95431680000.

The previous prime is 242033420491. The next prime is 242033420533. The reversal of 242033420500 is 5024330242.

242033420500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 40249186884 + 201784233616 = 200622^2 + 449204^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11554036 + ... + 11574964.

It is an arithmetic number, because the mean of its divisors is an integer number (5585327475).

Almost surely, 2242033420500 is an apocalyptic number.

242033420500 is a gapful number since it is divisible by the number (20) 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 242033420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268095718800).

242033420500 is an abundant number, since it is smaller than the sum of its proper divisors (294158017100).

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

242033420500 is a wasteful number, since it uses less digits than its factorization.

242033420500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21278 (or 21266 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 242033420500 its reverse (5024330242), we get a palindrome (247057750742).

The spelling of 242033420500 in words is "two hundred forty-two billion, thirty-three million, four hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 229 250 404 458 500 505 916 1010 1145 2020 2290 2525 4580 5050 5725 10100 11450 12625 20929 22900 23129 25250 28625 41858 46258 50500 57250 83716 92516 104645 114500 115645 209290 231290 418580 462580 523225 578225 1046450 1156450 2092900 2113829 2312900 2616125 2891125 4227658 4792741 5232250 5782250 8455316 9585482 10464500 10569145 11564500 19170964 21138290 23963705 42276580 47927410 52845725 95854820 105691450 119818525 211382900 239637050 264228625 479274100 484066841 528457250 599092625 968133682 1056914500 1198185250 1936267364 2396370500 2420334205 4840668410 9681336820 12101671025 24203342050 48406684100 60508355125 121016710250 242033420500