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2270144160 = 253252368543
BaseRepresentation
bin1000011101001111…
…1010011010100000
312212012200021100100
42013103322122200
514122124103120
61013133022400
7110153623044
oct20723723240
95765607310
102270144160
11a654899a9
12534324a00
132a242098b
141776da024
15d4475490
hex874fa6a0

2270144160 has 144 divisors (see below), whose sum is σ = 8083805184. Its totient is φ = 579042816.

The previous prime is 2270144153. The next prime is 2270144161. The reversal of 2270144160 is 614410722.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2270144161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152 + ... + 67391.

It is an arithmetic number, because the mean of its divisors is an integer number (56137536).

Almost surely, 22270144160 is an apocalyptic number.

2270144160 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 2270144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041902592).

2270144160 is an abundant number, since it is smaller than the sum of its proper divisors (5813661024).

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

2270144160 is a wasteful number, since it uses less digits than its factorization.

2270144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68587 (or 68576 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2270144160 is about 47646.0298450983. The cubic root of 2270144160 is about 1314.2696499072.

Adding to 2270144160 its reverse (614410722), we get a palindrome (2884554882).

The spelling of 2270144160 in words is "two billion, two hundred seventy million, one hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 68543 137086 205629 274172 342715 411258 548344 616887 685430 822516 1028145 1096688 1233774 1370860 1576489 1645032 2056290 2193376 2467548 2741720 3084435 3152978 3290064 4112580 4729467 4935096 5483440 6168870 6305956 6580128 7882445 8225160 9458934 9870192 10966880 12337740 12611912 14188401 15764890 16450320 18917868 19740384 23647335 24675480 25223824 28376802 31529780 32900640 37835736 47294670 49350960 50447648 56753604 63059560 70942005 75671472 94589340 98701920 113507208 126119120 141884010 151342944 189178680 227014416 252238240 283768020 378357360 454028832 567536040 756714720 1135072080 2270144160