Search a number
-
+
2221220212200 = 23325211112182839
BaseRepresentation
bin100000010100101011000…
…010101010110111101000
321212100100122201000011200
4200110223002222313220
5242343024333242300
64420225305524200
7316322623165653
oct40245302526750
97770318630150
102221220212200
117870179a2540
122ba5a21a3660
131315c9cab512
1479716d2889a
153cba439c200
hex2052b0aade8

2221220212200 has 144 divisors (see below), whose sum is σ = 8137743213600. Its totient is φ = 538477622400.

The previous prime is 2221220212187. The next prime is 2221220212207. The reversal of 2221220212200 is 22120221222.

2221220212200 is a `hidden beast` number, since 2 + 221 + 220 + 2 + 1 + 220 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2221220212207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56071620 + ... + 56111219.

It is an arithmetic number, because the mean of its divisors is an integer number (56512105650).

Almost surely, 22221220212200 is an apocalyptic number.

2221220212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221220212200 is an abundant number, since it is smaller than the sum of its proper divisors (5916523001400).

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

2221220212200 is a wasteful number, since it uses less digits than its factorization.

2221220212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112182872 (or 112182860 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2221220212200 its reverse (22120221222), we get a palindrome (2243340433422).

The spelling of 2221220212200 in words is "two trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 112182839 224365678 336548517 448731356 560914195 673097034 897462712 1009645551 1121828390 1234011229 1346194068 1682742585 2019291102 2243656780 2468022458 2692388136 2804570975 3365485170 3702033687 4038582204 4487313560 4936044916 5048227755 5609141950 6170056145 6730970340 7404067374 8077164408 8413712925 9872089832 10096455510 11106101061 11218283900 12340112290 13461940680 14808134748 16827425850 18510168435 20192911020 22212202122 22436567800 24680224580 25241138775 29616269496 30850280725 33654851700 37020336870 40385822040 44424404244 49360449160 50482277550 55530505305 61700561450 67309703400 74040673740 88848808488 92550842175 100964555100 111061010610 123401122900 148081347480 185101684350 201929110200 222122021220 246802245800 277652526525 370203368700 444244042440 555305053050 740406737400 1110610106100 2221220212200