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2201220222000 = 243532467148711
BaseRepresentation
bin100000000010000010111…
…100110000110000110000
321210102201211012020100220
4200002002330300300300
5242031044334101000
64403120540413040
7315014201112432
oct40020274606060
97712654166326
102201220222000
1177959447a918
122b6740247180
1312c7606081a7
147877aa46652
153c3d36341a0
hex20082f30c30

2201220222000 has 160 divisors (see below), whose sum is σ = 7099658402304. Its totient is φ = 586750176000.

The previous prime is 2201220221953. The next prime is 2201220222013. The reversal of 2201220222000 is 2220221022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14727645 + ... + 14876355.

Almost surely, 22201220222000 is an apocalyptic number.

2201220222000 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 2201220222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549829201152).

2201220222000 is an abundant number, since it is smaller than the sum of its proper divisors (4898438180304).

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

2201220222000 is a wasteful number, since it uses less digits than its factorization.

2201220222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151204 (or 151188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2201220222000 its reverse (2220221022), we get a palindrome (2203440443022).

The spelling of 2201220222000 in words is "two trillion, two hundred one billion, two hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2467 3000 4934 6000 7401 9868 12335 14802 19736 24670 29604 37005 39472 49340 59208 61675 74010 98680 118416 123350 148020 148711 185025 197360 246700 296040 297422 308375 370050 446133 493400 592080 594844 616750 740100 743555 892266 925125 986800 1189688 1233500 1480200 1487110 1784532 1850250 2230665 2379376 2467000 2960400 2974220 3569064 3700500 3717775 4461330 4934000 5948440 7138128 7401000 7435550 8922660 11153325 11896880 14802000 14871100 17845320 18588875 22306650 29742200 35690640 37177750 44613300 55766625 59484400 74355500 89226600 111533250 148711000 178453200 223066500 297422000 366870037 446133000 733740074 892266000 1100610111 1467480148 1834350185 2201220222 2934960296 3668700370 4402440444 5503050555 5869920592 7337400740 8804880888 9171750925 11006101110 14674801480 17609761776 18343501850 22012202220 27515252775 29349602960 36687003700 44024404440 45858754625 55030505550 73374007400 88048808880 91717509250 110061011100 137576263875 146748014800 183435018500 220122022200 275152527750 366870037000 440244044400 550305055500 733740074000 1100610111000 2201220222000