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2212303222000 = 24532946781677
BaseRepresentation
bin100000001100010111100…
…011000011010011110000
321211111100012210222012101
4200030113203003103300
5242221244111101000
64412152411510144
7315555636054664
oct40142743032360
97744305728171
102212303222000
11783261548853
122b8913a58354
131308087a3561
147910c9608a4
153c83161ae6a
hex203178c34f0

2212303222000 has 160 divisors (see below), whose sum is σ = 5545727104320. Its totient is φ = 852566758400.

The previous prime is 2212303221991. The next prime is 2212303222013. The reversal of 2212303222000 is 2223032122.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 27045162 + ... + 27126838.

It is an arithmetic number, because the mean of its divisors is an integer number (34660794402).

Almost surely, 22212303222000 is an apocalyptic number.

2212303222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212303222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772863552160).

2212303222000 is an abundant number, since it is smaller than the sum of its proper divisors (3333423882320).

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

2212303222000 is a wasteful number, since it uses less digits than its factorization.

2212303222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82196 (or 82180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2212303222000 its reverse (2223032122), we get a palindrome (2214526254122).

The spelling of 2212303222000 in words is "two trillion, two hundred twelve billion, three hundred three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 467 500 580 725 934 1000 1160 1450 1868 2000 2320 2335 2900 3625 3736 4670 5800 7250 7472 9340 11600 11675 13543 14500 18680 23350 27086 29000 37360 46700 54172 58000 58375 67715 81677 93400 108344 116750 135430 163354 186800 216688 233500 270860 326708 338575 408385 467000 541720 653416 677150 816770 934000 1083440 1306832 1354300 1633540 1692875 2041925 2368633 2708600 3267080 3385750 4083850 4737266 5417200 6534160 6771500 8167700 9474532 10209625 11843165 13543000 16335400 18949064 20419250 23686330 27086000 32670800 37898128 38143159 40838500 47372660 59215825 76286318 81677000 94745320 118431650 152572636 163354000 189490640 190715795 236863300 296079125 305145272 381431590 473726600 592158250 610290544 762863180 947453200 953578975 1106151611 1184316500 1525726360 1907157950 2212303222 2368633000 3051452720 3814315900 4424606444 4737266000 4767894875 5530758055 7628631800 8849212888 9535789750 11061516110 15257263600 17698425776 19071579500 22123032220 27653790275 38143159000 44246064440 55307580550 76286318000 88492128880 110615161100 138268951375 221230322200 276537902750 442460644400 553075805500 1106151611000 2212303222000