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13222202223000 = 2335313931707919
BaseRepresentation
bin1100000001101000100010…
…1010101010100110011000
31201211000211000012000001110
43000122020222222212120
53213113032232114000
644042110145220320
72533162332340461
oct300321052524630
951730730160043
1013222202223000
1142385604a8721
1215966749316a0
1374bb049b1644
14339d5aa87d68
1517de16d82850
hexc0688aaa998

13222202223000 has 128 divisors (see below), whose sum is σ = 41550058368000. Its totient is φ = 3500554147200.

The previous prime is 13222202222947. The next prime is 13222202223071. The reversal of 13222202223000 is 32220222231.

It is a super-2 number, since 2×132222022230002 (a number of 27 digits) contains 22 as substring.

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, 15436960 + ... + 16270959.

It is an arithmetic number, because the mean of its divisors is an integer number (324609831000).

Almost surely, 213222202223000 is an apocalyptic number.

13222202223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222202223000 is an abundant number, since it is smaller than the sum of its proper divisors (28327856145000).

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

13222202223000 is a wasteful number, since it uses less digits than its factorization.

13222202223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31708082 (or 31708068 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13222202223000 its reverse (32220222231), we get a palindrome (13254422445231).

The spelling of 13222202223000 in words is "thirteen trillion, two hundred twenty-two billion, two hundred two million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 139 150 200 250 278 300 375 417 500 556 600 695 750 834 1000 1112 1390 1500 1668 2085 2780 3000 3336 3475 4170 5560 6950 8340 10425 13900 16680 17375 20850 27800 34750 41700 52125 69500 83400 104250 139000 208500 417000 31707919 63415838 95123757 126831676 158539595 190247514 253663352 317079190 380495028 475618785 634158380 760990056 792697975 951237570 1268316760 1585395950 1902475140 2378093925 3170791900 3804950280 3963489875 4407400741 4756187850 6341583800 7926979750 8814801482 9512375700 11890469625 13222202223 15853959500 17629602964 19024751400 22037003705 23780939250 26444404446 31707919000 35259205928 44074007410 47561878500 52888808892 66111011115 88148014820 95123757000 105777617784 110185018525 132222022230 176296029640 220370037050 264444044460 330555055575 440740074100 528888088920 550925092625 661110111150 881480148200 1101850185250 1322220222300 1652775277875 2203700370500 2644440444600 3305550555750 4407400741000 6611101111500 13222202223000