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225554045401040 = 245531071273914689
BaseRepresentation
bin110011010010001111100100…
…110000001111011111010000
31002120121202102020101020110212
4303102033210300033133100
5214030434141110313130
62115414033055543252
765336512340322146
oct6322174460173720
91076552366336425
10225554045401040
1165960a2a4a1034
1221369a7552ab28
1398b1869681085
143d9ac3454d596
151b122a1d61e95
hexcd23e4c0f7d0

225554045401040 has 160 divisors (see below), whose sum is σ = 543547879280640. Its totient is φ = 87001529352192.

The previous prime is 225554045401031. The next prime is 225554045401063. The reversal of 225554045401040 is 40104540455522.

225554045401040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55660016 + ... + 59574704.

It is an arithmetic number, because the mean of its divisors is an integer number (3397174245504).

Almost surely, 2225554045401040 is an apocalyptic number.

225554045401040 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 225554045401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271773939640320).

225554045401040 is an abundant number, since it is smaller than the sum of its proper divisors (317993833879600).

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

225554045401040 is a wasteful number, since it uses less digits than its factorization.

225554045401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914989 (or 3914983 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 41.

Adding to 225554045401040 its reverse (40104540455522), we get a palindrome (265658585856562).

The spelling of 225554045401040 in words is "two hundred twenty-five trillion, five hundred fifty-four billion, forty-five million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 107 127 212 214 254 265 424 428 508 530 535 635 848 856 1016 1060 1070 1270 1712 2032 2120 2140 2540 4240 4280 5080 5671 6731 8560 10160 11342 13462 13589 22684 26924 27178 28355 33655 45368 53848 54356 56710 67310 67945 90736 107696 108712 113420 134620 135890 217424 226840 269240 271780 453680 538480 543560 720217 1087120 1440434 2880868 3601085 3914689 5761736 7202170 7829378 11523472 14404340 15658756 19573445 28808680 31317512 39146890 57617360 62635024 78293780 156587560 207478517 313175120 414957034 418871723 497165503 829914068 837743446 994331006 1037392585 1659828136 1675486892 1988662012 2074785170 2094358615 2485827515 3319656272 3350973784 3977324024 4149570340 4188717230 4971655030 6701947568 7954648048 8299140680 8377434460 9943310060 16598281360 16754868920 19886620120 22200201319 26349771659 33509737840 39773240240 44400402638 52699543318 53196708821 88800805276 105399086636 106393417642 111001006595 131748858295 177601610552 210798173272 212786835284 222002013190 263497716590 265983544105 355203221104 421596346544 425573670568 444004026380 526995433180 531967088210 851147341136 888008052760 1053990866360 1063934176420 1776016105520 2107981732720 2127868352840 2819425567513 4255736705680 5638851135026 11277702270052 14097127837565 22555404540104 28194255675130 45110809080208 56388511350260 112777022700520 225554045401040