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2865233340 = 22325412231741
BaseRepresentation
bin1010101011000111…
…1111110110111100
321101200102221020100
42222301333312330
521331444431330
61152151521100
7131001036654
oct25261776674
97350387210
102865233340
111240393242
1267b689190
133687ba258
141d2765364
1511b823060
hexaac7fdbc

2865233340 has 144 divisors (see below), whose sum is σ = 8948249856. Its totient is φ = 741657600.

The previous prime is 2865233333. The next prime is 2865233353. The reversal of 2865233340 is 433325682.

It is a happy number.

2865233340 is a `hidden beast` number, since 2 + 86 + 5 + 233 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2865233295 and 2865233304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1644870 + ... + 1646610.

It is an arithmetic number, because the mean of its divisors is an integer number (62140624).

Almost surely, 22865233340 is an apocalyptic number.

2865233340 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 2865233340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474124928).

2865233340 is an abundant number, since it is smaller than the sum of its proper divisors (6083016516).

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

2865233340 is a wasteful number, since it uses less digits than its factorization.

2865233340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2865233340 is about 53527.8744207165. The cubic root of 2865233340 is about 1420.3215135235.

The spelling of 2865233340 in words is "two billion, eight hundred sixty-five million, two hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 223 246 369 410 446 492 615 669 738 820 892 1115 1230 1338 1476 1741 1845 2007 2230 2460 2676 3345 3482 3690 4014 4460 5223 6690 6964 7380 8028 8705 9143 10035 10446 13380 15669 17410 18286 20070 20892 26115 27429 31338 34820 36572 40140 45715 52230 54858 62676 71381 78345 82287 91430 104460 109716 137145 142762 156690 164574 182860 214143 274290 285524 313380 329148 356905 388243 411435 428286 548580 642429 713810 776486 822870 856572 1070715 1164729 1284858 1427620 1552972 1645740 1941215 2141430 2329458 2569716 3212145 3494187 3882430 4282860 4658916 5823645 6424290 6988374 7764860 11647290 12848580 13976748 15917963 17470935 23294580 31835926 34941870 47753889 63671852 69883740 79589815 95507778 143261667 159179630 191015556 238769445 286523334 318359260 477538890 573046668 716308335 955077780 1432616670 2865233340