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2212862288880 = 2435311289230743
BaseRepresentation
bin100000001100111000110…
…111101110001111110000
321211112210011210111210010
4200030320313232033300
5242223420221221010
64412324102334520
7315605535051405
oct40147067561760
97745704714703
102212862288880
11783519088aa1
122b8a4b12a440
13130897569969
1479162cd02ac
153c865750620
hex20338dee3f0

2212862288880 has 160 divisors (see below), whose sum is σ = 7086683566080. Its totient is φ = 570615736320.

The previous prime is 2212862288863. The next prime is 2212862288891. The reversal of 2212862288880 is 888822682122.

2212862288880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2212862288880.

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, 9474789 + ... + 9705531.

It is an arithmetic number, because the mean of its divisors is an integer number (44291772288).

Almost surely, 22212862288880 is an apocalyptic number.

2212862288880 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 2212862288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543341783040).

2212862288880 is an abundant number, since it is smaller than the sum of its proper divisors (4873821277200).

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

2212862288880 is a wasteful number, since it uses less digits than its factorization.

2212862288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232079 (or 232073 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 57.

The spelling of 2212862288880 in words is "two trillion, two hundred twelve billion, eight hundred sixty-two million, two hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1289 1488 1860 2480 2578 3720 3867 5156 6445 7440 7734 10312 12890 15468 19335 20624 25780 30936 38670 39959 51560 61872 77340 79918 103120 119877 154680 159836 199795 230743 239754 309360 319672 399590 461486 479508 599385 639344 692229 799180 922972 959016 1153715 1198770 1384458 1598360 1845944 1918032 2307430 2397540 2768916 3196720 3461145 3691888 4614860 4795080 5537832 6922290 7153033 9229720 9590160 11075664 13844580 14306066 18459440 21459099 27689160 28612132 35765165 42918198 55378320 57224264 71530330 85836396 107295495 114448528 143060660 171672792 214590990 286121320 297427727 343345584 429181980 572242640 594855454 858363960 892283181 1189710908 1487138635 1716727920 1784566362 2379421816 2974277270 3569132724 4461415905 4758843632 5948554540 7138265448 8922831810 9220259537 11897109080 14276530896 17845663620 18440519074 23794218160 27660778611 35691327240 36881038148 46101297685 55321557222 71382654480 73762076296 92202595370 110643114444 138303893055 147524152592 184405190740 221286228888 276607786110 368810381480 442572457776 553215572220 737620762960 1106431144440 2212862288880