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2280110112 = 2532710311097
BaseRepresentation
bin1000011111100111…
…1011100000100000
312212220102121001200
42013321323200200
514132202010422
61014130401200
7110334421230
oct20771734040
95786377050
102280110112
11a70076525
12537730200
132a44ccba7
14178b71cc0
15d52932ac
hex87e7b820

2280110112 has 144 divisors (see below), whose sum is σ = 7424307072. Its totient is φ = 650234880.

The previous prime is 2280110093. The next prime is 2280110213. The reversal of 2280110112 is 2110110822.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2077948 + ... + 2079044.

It is an arithmetic number, because the mean of its divisors is an integer number (51557688).

Almost surely, 22280110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712153536).

2280110112 is an abundant number, since it is smaller than the sum of its proper divisors (5144196960).

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

2280110112 is a wasteful number, since it uses less digits than its factorization.

2280110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 2280110112 is about 47750.4985523712. The cubic root of 2280110112 is about 1316.1900607170.

Adding to 2280110112 its reverse (2110110822), we get a palindrome (4390220934).

The spelling of 2280110112 in words is "two billion, two hundred eighty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1031 1097 2016 2062 2194 3093 3291 4124 4388 6186 6582 7217 7679 8248 8776 9279 9873 12372 13164 14434 15358 16496 17552 18558 19746 21651 23037 24744 26328 28868 30716 32992 35104 37116 39492 43302 46074 49488 52656 57736 61432 64953 69111 74232 78984 86604 92148 98976 105312 115472 122864 129906 138222 148464 157968 173208 184296 230944 245728 259812 276444 296928 315936 346416 368592 519624 552888 692832 737184 1039248 1105776 1131007 2078496 2211552 2262014 3393021 4524028 6786042 7917049 9048056 10179063 13572084 15834098 18096112 20358126 23751147 27144168 31668196 36192224 40716252 47502294 54288336 63336392 71253441 81432504 95004588 108576672 126672784 142506882 162865008 190009176 253345568 285013764 325730016 380018352 570027528 760036704 1140055056 2280110112