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242256226422360 = 233519106252730887
BaseRepresentation
bin110111000101010010101100…
…010100100000111001011000
31011202202110122221121210201210
4313011102230110200321120
5223223111222431003420
62215122550220143120
7102012302061500133
oct6705225424407130
91152673587553653
10242256226422360
117021031a232757
1223206a68097aa0
13a523883121377
1443b739a2ad21a
151d019915139e0
hexdc54ac520e58

242256226422360 has 64 divisors (see below), whose sum is σ = 765019662393600. Its totient is φ = 61201572990336.

The previous prime is 242256226422359. The next prime is 242256226422391. The reversal of 242256226422360 is 63224622652242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53126363164 + ... + 53126367723.

It is an arithmetic number, because the mean of its divisors is an integer number (11953432224900).

Almost surely, 2242256226422360 is an apocalyptic number.

242256226422360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242256226422360 is an abundant number, since it is smaller than the sum of its proper divisors (522763435971240).

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

242256226422360 is a wasteful number, since it uses less digits than its factorization.

242256226422360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106252730920 (or 106252730916 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 242256226422360 in words is "two hundred forty-two trillion, two hundred fifty-six billion, two hundred twenty-six million, four hundred twenty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 106252730887 212505461774 318758192661 425010923548 531263654435 637516385322 850021847096 1062527308870 1275032770644 1593790963305 2018801886853 2125054617740 2550065541288 3187581926610 4037603773706 4250109235480 6056405660559 6375163853220 8075207547412 10094009434265 12112811321118 12750327706440 16150415094824 20188018868530 24225622642236 30282028302795 40376037737060 48451245284472 60564056605590 80752075474120 121128113211180 242256226422360