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2212006656304 = 242315143990677
BaseRepresentation
bin100000001100000101110…
…111101111100100110000
321211110120112202212112201
4200030011313233210300
5242220142201000204
64412103135232544
7315545405230654
oct40140567574460
97743515685481
102212006656304
1178311a0aa635
122b8850678754
1313078c2089b3
14790c1402a64
153c8155899a4
hex20305def930

2212006656304 has 80 divisors (see below), whose sum is σ = 4512021212160. Its totient is φ = 1048504723200.

The previous prime is 2212006656289. The next prime is 2212006656331. The reversal of 2212006656304 is 4036566002122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24349014 + ... + 24439690.

It is an arithmetic number, because the mean of its divisors is an integer number (56400265152).

Almost surely, 22212006656304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212006656304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256010606080).

2212006656304 is an abundant number, since it is smaller than the sum of its proper divisors (2300014555856).

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

2212006656304 is a wasteful number, since it uses less digits than its factorization.

2212006656304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91298 (or 91292 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 2212006656304 in words is "two trillion, two hundred twelve billion, six million, six hundred fifty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 23 46 92 151 184 302 368 439 604 878 1208 1756 2416 3473 3512 6946 7024 10097 13892 20194 27784 40388 55568 66289 80776 90677 132578 161552 181354 265156 362708 530312 725416 1060624 1450832 1524647 2085571 3049294 4171142 6098588 8342284 12197176 13692227 16684568 24394352 27384454 33369136 39807203 54768908 79614406 109537816 159228812 219075632 314921221 318457624 629842442 636915248 915565669 1259684884 1831131338 2519369768 3662262676 5038739536 6010887653 7324525352 12021775306 14649050704 24043550612 48087101224 96174202448 138250416019 276500832038 553001664076 1106003328152 2212006656304