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2214181229680 = 245767443133213
BaseRepresentation
bin100000001110000111011…
…111000101010001110000
321211200012002121122102101
4200032013133011101300
5242234120343322210
64413103020030144
7315653321630020
oct40160737052160
97750162548371
102214181229680
11784035642812
122b9158992354
13130a478a6bc4
147924a141a80
153c8e1432a3a
hex203877c5470

2214181229680 has 160 divisors (see below), whose sum is σ = 5984731666944. Its totient is φ = 746123609088.

The previous prime is 2214181229657. The next prime is 2214181229749. The reversal of 2214181229680 is 869221814122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2214181229680.

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, 16554754 + ... + 16687966.

Almost surely, 22214181229680 is an apocalyptic number.

2214181229680 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 2214181229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992365833472).

2214181229680 is an abundant number, since it is smaller than the sum of its proper divisors (3770550437264).

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

2214181229680 is a wasteful number, since it uses less digits than its factorization.

2214181229680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133743 (or 133737 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 2214181229680 in words is "two trillion, two hundred fourteen billion, one hundred eighty-one million, two hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 443 469 536 560 670 886 938 1072 1340 1772 1876 2215 2345 2680 3101 3544 3752 4430 4690 5360 6202 7088 7504 8860 9380 12404 15505 17720 18760 24808 29681 31010 35440 37520 49616 59362 62020 118724 124040 133213 148405 207767 237448 248080 266426 296810 415534 474896 532852 593620 666065 831068 932491 1038835 1065704 1187240 1332130 1662136 1864982 2077670 2131408 2374480 2664260 3324272 3729964 4155340 4662455 5328520 7459928 8310680 8925271 9324910 10657040 14919856 16621360 17850542 18649820 35701084 37299640 44626355 59013359 62476897 71402168 74599280 89252710 118026718 124953794 142804336 178505420 236053436 249907588 295066795 312384485 357010840 413093513 472106872 499815176 590133590 624768970 714021680 826187026 944213744 999630352 1180267180 1249537940 1652374052 2065467565 2360534360 2499075880 3304748104 3953895053 4130935130 4721068720 4998151760 6609496208 7907790106 8261870260 15815580212 16523740520 19769475265 27677265371 31631160424 33047481040 39538950530 55354530742 63262320848 79077901060 110709061484 138386326855 158155802120 221418122968 276772653710 316311604240 442836245936 553545307420 1107090614840 2214181229680