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242403012200 = 235223113466339
BaseRepresentation
bin1110000111000001011…
…0000110111001101000
3212011200111000220000202
43201300112012321220
512432420132342300
6303205225451332
723340654415166
oct3416026067150
9764614026022
10242403012200
11938911a9938
123ab90340b48
1319b211a343b
14ba37894236
15648adc9ad5
hex3870586e68

242403012200 has 96 divisors (see below), whose sum is σ = 593296401600. Its totient is φ = 91924546560.

The previous prime is 242403012197. The next prime is 242403012221. The reversal of 242403012200 is 2210304242.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 286631 + ... + 752969.

It is an arithmetic number, because the mean of its divisors is an integer number (6180170850).

Almost surely, 2242403012200 is an apocalyptic number.

242403012200 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 242403012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296648200800).

242403012200 is an abundant number, since it is smaller than the sum of its proper divisors (350893389400).

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

242403012200 is a wasteful number, since it uses less digits than its factorization.

242403012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466491 (or 466482 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242403012200 its reverse (2210304242), we get a palindrome (244613316442).

The spelling of 242403012200 in words is "two hundred forty-two billion, four hundred three million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 113 115 184 200 226 230 452 460 565 575 904 920 1130 1150 2260 2300 2599 2825 4520 4600 5198 5650 10396 11300 12995 20792 22600 25990 51980 64975 103960 129950 259900 466339 519800 932678 1865356 2331695 3730712 4663390 9326780 10725797 11658475 18653560 21451594 23316950 42903188 46633900 52696307 53628985 85806376 93267800 105392614 107257970 210785228 214515940 263481535 268144925 421570456 429031880 526963070 536289850 1053926140 1072579700 1212015061 1317407675 2107852280 2145159400 2424030122 2634815350 4848060244 5269630700 6060075305 9696120488 10539261400 12120150610 24240301220 30300376525 48480602440 60600753050 121201506100 242403012200