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242347220000 = 2554594
BaseRepresentation
bin1110000110110100000…
…1010001110000100000
3212011112121001100111222
43201231001101300200
512432311342020000
6303155513554212
723336406244544
oct3415501216040
9764477040458
10242347220000
1193862762386
123ab75715968
1319b1276a7c2
14ba302cda24
156486058a85
hex386d051c20

242347220000 has 150 divisors (see below), whose sum is σ = 606490004043. Its totient is φ = 95295856000.

The previous prime is 242347219951. The next prime is 242347220047. The reversal of 242347220000 is 22743242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 56030677264 + 186316542736 = 236708^2 + 431644^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=348100.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 4107579971 + ... + 4107580029.

Almost surely, 2242347220000 is an apocalyptic number.

242347220000 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 242347220000

242347220000 is an abundant number, since it is smaller than the sum of its proper divisors (364142784043).

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

242347220000 is an frugal number, since it uses more digits than its factorization.

242347220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

Adding to 242347220000 its reverse (22743242), we get a palindrome (242369963242).

The spelling of 242347220000 in words is "two hundred forty-two billion, three hundred forty-seven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 125 160 200 236 250 295 400 472 500 590 625 800 944 1000 1180 1250 1475 1888 2000 2360 2500 2950 3481 4000 4720 5000 5900 6962 7375 9440 10000 11800 13924 14750 17405 20000 23600 27848 29500 34810 36875 47200 55696 59000 69620 73750 87025 111392 118000 139240 147500 174050 205379 236000 278480 295000 348100 410758 435125 556960 590000 696200 821516 870250 1026895 1180000 1392400 1643032 1740500 2053790 2175625 2784800 3286064 3481000 4107580 4351250 5134475 6572128 6962000 8215160 8702500 10268950 12117361 13924000 16430320 17405000 20537900 24234722 25672375 32860640 34810000 41075800 48469444 51344750 60586805 69620000 82151600 96938888 102689500 121173610 128361875 164303200 193877776 205379000 242347220 256723750 302934025 387755552 410758000 484694440 513447500 605868050 821516000 969388880 1026895000 1211736100 1514670125 1938777760 2053790000 2423472200 3029340250 4107580000 4846944400 6058680500 7573350625 9693888800 12117361000 15146701250 24234722000 30293402500 48469444000 60586805000 121173610000 242347220000