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2241041220 = 22325111131839
BaseRepresentation
bin1000010110010011…
…1001001101000100
312210011220200121200
42011210321031010
514042201304340
61010213142500
7106351351605
oct20544711504
95704820550
102241041220
11a50011490
1252662aa30
132993a10c2
141738c1dac
15d1b27330
hex85939344

2241041220 has 72 divisors (see below), whose sum is σ = 7415815680. Its totient is φ = 543282240.

The previous prime is 2241041219. The next prime is 2241041233. The reversal of 2241041220 is 221401422.

2241041220 is a `hidden beast` number, since 224 + 10 + 412 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2241041193 and 2241041202.

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 23 ways as a sum of consecutive naturals, for example, 563940 + ... + 567899.

It is an arithmetic number, because the mean of its divisors is an integer number (102997440).

Almost surely, 22241041220 is an apocalyptic number.

2241041220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241041220 is an abundant number, since it is smaller than the sum of its proper divisors (5174774460).

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

2241041220 is a wasteful number, since it uses less digits than its factorization.

2241041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131865 (or 1131860 counting only the distinct ones).

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

The square root of 2241041220 is about 47339.6368807366. The cubic root of 2241041220 is about 1308.6292247944.

Adding to 2241041220 its reverse (221401422), we get a palindrome (2462442642).

The spelling of 2241041220 in words is "two billion, two hundred forty-one million, forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1131839 2263678 3395517 4527356 5659195 6791034 10186551 11318390 12450229 13582068 16977585 20373102 22636780 24900458 33955170 37350687 40746204 49800916 50932755 62251145 67910340 74701374 101865510 112052061 124502290 149402748 186753435 203731020 224104122 249004580 373506870 448208244 560260305 747013740 1120520610 2241041220