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256066225666230 = 23573770194695221
BaseRepresentation
bin111010001110010000010000…
…011010110111100010110110
31020120122200200112121021220110
4322032100100122313202312
5232030342112232304410
62304335111115443450
7104636113532316210
oct7216202032674266
91216580615537813
10256066225666230
1174655092835051
1224877424a56586
13acb5c3153a3a5
1447339586635b0
151e90d0bc4b720
hexe8e4106b78b6

256066225666230 has 128 divisors (see below), whose sum is σ = 721438514334720. Its totient is φ = 56939421242880.

The previous prime is 256066225666219. The next prime is 256066225666259. The reversal of 256066225666230 is 32666522660652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52190020 + ... + 56885240.

It is an arithmetic number, because the mean of its divisors is an integer number (5636238393240).

Almost surely, 2256066225666230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256066225666230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360719257167360).

256066225666230 is an abundant number, since it is smaller than the sum of its proper divisors (465372288668490).

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

256066225666230 is a wasteful number, since it uses less digits than its factorization.

256066225666230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702294.

The product of its (nonzero) digits is 55987200, while the sum is 57.

The spelling of 256066225666230 in words is "two hundred fifty-six trillion, sixty-six billion, two hundred twenty-five million, six hundred sixty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3885 7019 7770 14038 21057 35095 42114 49133 70190 98266 105285 147399 210570 245665 259703 294798 491330 519406 736995 779109 1298515 1473990 1558218 1817921 2597030 3635842 3895545 4695221 5453763 7791090 9089605 9390442 10907526 14085663 18179210 23476105 27268815 28171326 32866547 46952210 54537630 65733094 70428315 98599641 140856630 164332735 173723177 197199282 328665470 347446354 492998205 521169531 868615885 985996410 1042339062 1216062239 1737231770 2432124478 2605847655 3648186717 5211695310 6080311195 7296373434 12160622390 18240933585 32955756199 36481867170 65911512398 98867268597 164778780995 197734537194 230690293393 329557561990 461380586786 494336342985 692070880179 988672685970 1153451466965 1219362979363 1384141760358 2306902933930 2438725958726 3460354400895 3658088938089 6096814896815 6920708801790 7316177876178 8535540855541 12193629793630 17071081711082 18290444690445 25606622566623 36580889380890 42677704277705 51213245133246 85355408555410 128033112833115 256066225666230