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2023110440 = 2351343173523
BaseRepresentation
bin111100010010110…
…0011011100101000
312012222211122210022
41320211203130220
513120404013230
6532430140012
7101064104111
oct17045433450
95188748708
102023110440
11948aa18aa
12485651608
132631a9490
14152993208
15bc92a1e5
hex78963728

2023110440 has 128 divisors (see below), whose sum is σ = 5054797440. Its totient is φ = 724018176.

The previous prime is 2023110433. The next prime is 2023110461. The reversal of 2023110440 is 440113202.

It is a Cunningham number, because it is equal to 449792-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3868019 + ... + 3868541.

It is an arithmetic number, because the mean of its divisors is an integer number (39490605).

Almost surely, 22023110440 is an apocalyptic number.

2023110440 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 2023110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527398720).

2023110440 is an abundant number, since it is smaller than the sum of its proper divisors (3031687000).

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

2023110440 is a wasteful number, since it uses less digits than its factorization.

2023110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2023110440 is about 44978.9999888837. Note that the first 4 decimals coincide. The cubic root of 2023110440 is about 1264.7553652139.

Adding to 2023110440 its reverse (440113202), we get a palindrome (2463223642).

The spelling of 2023110440 in words is "two billion, twenty-three million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 173 215 260 344 346 430 520 523 559 692 860 865 1046 1118 1384 1720 1730 2092 2236 2249 2615 2795 3460 4184 4472 4498 5230 5590 6799 6920 7439 8996 10460 11180 11245 13598 14878 17992 20920 22360 22489 22490 27196 29756 33995 37195 44978 44980 54392 59512 67990 74390 89956 89960 90479 96707 112445 135980 148780 179912 180958 193414 224890 271960 292357 297560 361916 386828 449780 452395 483535 584714 723832 773656 899560 904790 967070 1169428 1176227 1461785 1809580 1934140 2338856 2352454 2923570 3619160 3868280 3890597 4704908 5847140 5881135 7781194 9409816 11694280 11762270 15562388 19452985 23524540 31124776 38905970 47049080 50577761 77811940 101155522 155623880 202311044 252888805 404622088 505777610 1011555220 2023110440