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2216853688224 = 253721115634547
BaseRepresentation
bin100000010000100110110…
…001101100111110100000
321211221002100022121100110
4200100212301230332200
5242310104021010344
64414224124051320
7316106462304240
oct40204661547640
97757070277313
102216853688224
1178518712843a
122b9783993b40
13131082469716
1479421045b20
153c9ead773b9
hex20426c6cfa0

2216853688224 has 96 divisors (see below), whose sum is σ = 6682080738816. Its totient is φ = 630384894720.

The previous prime is 2216853688177. The next prime is 2216853688243. The reversal of 2216853688224 is 4228863586122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7675482 + ... + 7959065.

It is an arithmetic number, because the mean of its divisors is an integer number (69605007696).

Almost surely, 22216853688224 is an apocalyptic number.

2216853688224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2216853688224 is an abundant number, since it is smaller than the sum of its proper divisors (4465227050592).

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

2216853688224 is a wasteful number, since it uses less digits than its factorization.

2216853688224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634778 (or 15634770 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 57.

The spelling of 2216853688224 in words is "two trillion, two hundred sixteen billion, eight hundred fifty-three million, six hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 422 633 672 844 1266 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 17724 20256 23632 35448 47264 70896 141792 15634547 31269094 46903641 62538188 93807282 109441829 125076376 187614564 218883658 250152752 328325487 375229128 437767316 500305504 656650974 750458256 875534632 1313301948 1500916512 1751069264 2626603896 3298889417 3502138528 5253207792 6597778834 9896668251 10506415584 13195557668 19793336502 23092225919 26391115336 39586673004 46184451838 52782230672 69276677757 79173346008 92368903676 105564461344 138553355514 158346692016 184737807352 277106711028 316693384032 369475614704 554213422056 738951229408 1108426844112 2216853688224