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242332412300 = 2252111072058899
BaseRepresentation
bin1110000110110000100…
…0110010100110001100
3212011111120012001011122
43201230020302212030
512432244044143200
6303154224340112
723336136342446
oct3415410624614
9764446161148
10242332412300
1193855369110
123ab70774638
1319b0c684854
14ba2c357496
156484ad1385
hex386c23298c

242332412300 has 72 divisors (see below), whose sum is σ = 579028564800. Its totient is φ = 87297275200.

The previous prime is 242332412221. The next prime is 242332412327. The reversal of 242332412300 is 3214233242.

It is a super-2 number, since 2×2423324123002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242332412300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911750 + ... + 1147149.

It is an arithmetic number, because the mean of its divisors is an integer number (8042063400).

Almost surely, 2242332412300 is an apocalyptic number.

242332412300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242332412300 is an abundant number, since it is smaller than the sum of its proper divisors (336696152500).

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

242332412300 is a wasteful number, since it uses less digits than its factorization.

242332412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059031 (or 2059024 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 242332412300 its reverse (3214233242), we get a palindrome (245546645542).

The spelling of 242332412300 in words is "two hundred forty-two billion, three hundred thirty-two million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700 2058899 4117798 8235596 10294495 20588990 22647889 41177980 45295778 51472475 90591556 102944950 113239445 205889900 220302193 226478890 440604386 452957780 566197225 881208772 1101510965 1132394450 2203021930 2264788900 2423324123 4406043860 4846648246 5507554825 9693296492 11015109650 12116620615 22030219300 24233241230 48466482460 60583103075 121166206150 242332412300