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221222130103200 = 25352731262683391
BaseRepresentation
bin110010010011001101001010…
…011110110011001110100000
31002000021121222121111101201110
4302103031022132303032200
5212444000410301300300
62102300013225103320
764411525416661662
oct6223151236631640
91060247877441643
10221222130103200
1164540862215566
122098a3b7927b40
139659207933025
143c8b2cb536532
151a8976688d550
hexc9334a7b33a0

221222130103200 has 144 divisors (see below), whose sum is σ = 729942116714496. Its totient is φ = 58184450611200.

The previous prime is 221222130103199. The next prime is 221222130103283. The reversal of 221222130103200 is 2301031222122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631166496 + ... + 631516895.

It is an arithmetic number, because the mean of its divisors is an integer number (5069042477184).

Almost surely, 2221222130103200 is an apocalyptic number.

221222130103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222130103200 is an abundant number, since it is smaller than the sum of its proper divisors (508719986611296).

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

221222130103200 is a wasteful number, since it uses less digits than its factorization.

221222130103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262683487 (or 1262683474 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221222130103200 its reverse (2301031222122), we get a palindrome (223523161325322).

The spelling of 221222130103200 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred thirty million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 73 75 80 96 100 120 146 150 160 200 219 240 292 300 365 400 438 480 584 600 730 800 876 1095 1168 1200 1460 1752 1825 2190 2336 2400 2920 3504 3650 4380 5475 5840 7008 7300 8760 10950 11680 14600 17520 21900 29200 35040 43800 58400 87600 175200 1262683391 2525366782 3788050173 5050733564 6313416955 7576100346 10101467128 12626833910 15152200692 18940250865 20202934256 25253667820 30304401384 31567084775 37880501730 40405868512 50507335640 60608802768 63134169550 75761003460 92175887543 94701254325 101014671280 121217605536 126268339100 151522006920 184351775086 189402508650 202029342560 252536678200 276527662629 303044013840 368703550172 378805017300 460879437715 505073356400 553055325258 606088027680 737407100344 757610034600 921758875430 1010146712800 1106110650516 1382638313145 1474814200688 1515220069200 1843517750860 2212221301032 2304397188575 2765276626290 2949628401376 3030440138400 3687035501720 4424442602064 4608794377150 5530553252580 6913191565725 7374071003440 8848885204128 9217588754300 11061106505160 13826383131450 14748142006880 18435177508600 22122213010320 27652766262900 36870355017200 44244426020640 55305532525800 73740710034400 110611065051600 221222130103200