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222120130320 = 243251128045471
BaseRepresentation
bin1100111011011101100…
…1000011011100010000
3210020022221012201210100
43032313121003130100
512114400223132240
6250012433132400
722022225645604
oct3166731033420
9706287181710
10222120130320
1186223028540
123706b6ba100
1317c3b01249a
14aa71bb3504
155ba03d1e30
hex33b7643710

222120130320 has 120 divisors (see below), whose sum is σ = 813767415552. Its totient is φ = 53847302400.

The previous prime is 222120130313. The next prime is 222120130321. The reversal of 222120130320 is 23031021222.

222120130320 is a `hidden beast` number, since 2 + 2 + 212 + 0 + 130 + 320 = 666.

222120130320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222120130293 and 222120130302.

It is not an unprimeable number, because it can be changed into a prime (222120130321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14014816 + ... + 14030655.

Almost surely, 2222120130320 is an apocalyptic number.

222120130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222120130320 is an abundant number, since it is smaller than the sum of its proper divisors (591647285232).

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

222120130320 is a wasteful number, since it uses less digits than its factorization.

222120130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28045501 (or 28045492 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222120130320 its reverse (23031021222), we get a palindrome (245151151542).

The spelling of 222120130320 in words is "two hundred twenty-two billion, one hundred twenty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 28045471 56090942 84136413 112181884 140227355 168272826 224363768 252409239 280454710 308500181 336545652 420682065 448727536 504818478 560909420 617000362 673091304 841364130 925500543 1009636956 1121818840 1234000724 1262046195 1346182608 1542500905 1682728260 1851001086 2019273912 2243637680 2468001448 2524092390 2776501629 3085001810 3365456520 3702002172 4038547824 4627502715 4936002896 5048184780 5553003258 6170003620 6730913040 7404004344 9255005430 10096369560 11106006516 12340007240 13882508145 14808008688 18510010860 20192739120 22212013032 24680014480 27765016290 37020021720 44424026064 55530032580 74040043440 111060065160 222120130320