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2241440120 = 235316129633
BaseRepresentation
bin1000010110011001…
…1010100101111000
312210012122221210202
42011212122211320
514042302040440
61010225501332
7106354632563
oct20546324570
95705587722
102241440120
11a50264157
125267a1848
132994b083a
141739874da
15d1ba5615
hex8599a978

2241440120 has 64 divisors (see below), whose sum is σ = 5291447040. Its totient is φ = 853401600.

The previous prime is 2241440101. The next prime is 2241440153. The reversal of 2241440120 is 210441422.

It is a super-2 number, since 2×22414401202 = 10048107623091228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2241440092 and 2241440101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60824 + ... + 90456.

It is an arithmetic number, because the mean of its divisors is an integer number (82678860).

Almost surely, 22241440120 is an apocalyptic number.

2241440120 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 2241440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645723520).

2241440120 is an abundant number, since it is smaller than the sum of its proper divisors (3050006920).

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

2241440120 is a wasteful number, since it uses less digits than its factorization.

2241440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29736 (or 29732 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2241440120 is about 47343.8498645811. The cubic root of 2241440120 is about 1308.7068644831.

Adding to 2241440120 its reverse (210441422), we get a palindrome (2451881542).

The spelling of 2241440120 in words is "two billion, two hundred forty-one million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 61 62 122 124 155 244 248 305 310 488 610 620 1220 1240 1891 2440 3782 7564 9455 15128 18910 29633 37820 59266 75640 118532 148165 237064 296330 592660 918623 1185320 1807613 1837246 3615226 3674492 4593115 7230452 7348984 9038065 9186230 14460904 18076130 18372460 36152260 36744920 56036003 72304520 112072006 224144012 280180015 448288024 560360030 1120720060 2241440120