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220044040004256 = 253131735110161797
BaseRepresentation
bin110010000010000011111110…
…110101101110001010100000
31001212010000010111010120200220
4302002003332311232022200
5212320200143220114011
62055554500401443040
764230441304240326
oct6202037665561240
91055100114116626
10220044040004256
1164127176056416
122081a013940480
1395a20aa612320
143c4a28cc17d16
151a68cb5435506
hexc820fed6e2a0

220044040004256 has 96 divisors (see below), whose sum is σ = 622083486665088. Its totient is φ = 67701949670400.

The previous prime is 220044040004251. The next prime is 220044040004287. The reversal of 220044040004256 is 652400040440022.

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

It is a super-2 number, since 2×2200440400042562 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220044040004251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16573150 + ... + 26734946.

It is an arithmetic number, because the mean of its divisors is an integer number (6480036319428).

Almost surely, 2220044040004256 is an apocalyptic number.

220044040004256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

220044040004256 is an abundant number, since it is smaller than the sum of its proper divisors (402039446660832).

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

220044040004256 is a wasteful number, since it uses less digits than its factorization.

220044040004256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10179174 (or 10179166 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 220044040004256 its reverse (652400040440022), we get a palindrome (872444080444278).

The spelling of 220044040004256 in words is "two hundred twenty trillion, forty-four billion, forty million, four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 17351 34702 52053 69404 104106 138808 208212 225563 277616 416424 451126 555232 676689 832848 902252 1353378 1665696 1804504 2706756 3609008 5413512 7218016 10161797 10827024 20323594 21654048 30485391 40647188 60970782 81294376 121941564 132103361 162588752 243883128 264206722 325177504 396310083 487766256 528413444 792620166 975532512 1056826888 1585240332 2113653776 3170480664 4227307552 6340961328 12681922656 176317339747 352634679494 528952019241 705269358988 1057904038482 1410538717976 2115808076964 2292125416711 2821077435952 4231616153928 4584250833422 5642154871904 6876376250133 8463232307856 9168501666844 13752752500266 16926464615712 18337003333688 27505505000532 36674006667376 55011010001064 73348013334752 110022020002128 220044040004256