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2168540000 = 2554119857
BaseRepresentation
bin1000000101000001…
…0100101101100000
312121010111020122022
42001100110231200
513420121240000
6555103201012
7104511200024
oct20120245540
95533436568
102168540000
11a130a2220
125062a6168
13287367c83
1416800c384
15ca5a5585
hex81414b60

2168540000 has 120 divisors (see below), whose sum is σ = 5820518088. Its totient is φ = 788480000.

The previous prime is 2168539991. The next prime is 2168540039. The reversal of 2168540000 is 458612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 215072 + ... + 224928.

Almost surely, 22168540000 is an apocalyptic number.

2168540000 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 2168540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910259044).

2168540000 is an abundant number, since it is smaller than the sum of its proper divisors (3651978088).

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

2168540000 is an equidigital number, since it uses as much as digits as its factorization.

2168540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9898 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2168540000 is about 46567.5852927763. The cubic root of 2168540000 is about 1294.3621730448.

Adding to 2168540000 its reverse (458612), we get a palindrome (2168998612).

The spelling of 2168540000 in words is "two billion, one hundred sixty-eight million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 9857 10000 11000 13750 19714 20000 22000 27500 39428 44000 49285 55000 78856 98570 108427 110000 157712 197140 216854 220000 246425 315424 394280 433708 492850 542135 788560 867416 985700 1084270 1232125 1577120 1734832 1971400 2168540 2464250 2710675 3469664 3942800 4337080 4928500 5421350 6160625 7885600 8674160 9857000 10842700 12321250 13553375 17348320 19714000 21685400 24642500 27106750 39428000 43370800 49285000 54213500 67766875 86741600 98570000 108427000 135533750 197140000 216854000 271067500 433708000 542135000 1084270000 2168540000