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216050000 = 245529149
BaseRepresentation
bin11001110000010…
…10100101010000
3120001112110212212
430320022211100
5420302100000
633234411252
75232252245
oct1470124520
9501473785
10216050000
11100a55621
1260430b28
13359b684a
142099d5cc
1513e79c35
hexce0a950

216050000 has 120 divisors (see below), whose sum is σ = 544887000. Its totient is φ = 82880000.

The previous prime is 216049979. The next prime is 216050039. The reversal of 216050000 is 50612.

It can be written as a sum of positive squares in 12 ways, for example, as 210018064 + 6031936 = 14492^2 + 2456^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449926 + ... + 1450074.

It is an arithmetic number, because the mean of its divisors is an integer number (4540725).

Almost surely, 2216050000 is an apocalyptic number.

216050000 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 216050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272443500).

216050000 is an abundant number, since it is smaller than the sum of its proper divisors (328837000).

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

216050000 is an equidigital number, since it uses as much as digits as its factorization.

216050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 216050000 is about 14698.6393928146. The cubic root of 216050000 is about 600.0462927245.

The spelling of 216050000 in words is "two hundred sixteen million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 149 200 232 250 290 298 400 464 500 580 596 625 725 745 1000 1160 1192 1250 1450 1490 2000 2320 2384 2500 2900 2980 3125 3625 3725 4321 5000 5800 5960 6250 7250 7450 8642 10000 11600 11920 12500 14500 14900 17284 18125 18625 21605 25000 29000 29800 34568 36250 37250 43210 50000 58000 59600 69136 72500 74500 86420 90625 93125 108025 145000 149000 172840 181250 186250 216050 290000 298000 345680 362500 372500 432100 465625 540125 725000 745000 864200 931250 1080250 1450000 1490000 1728400 1862500 2160500 2700625 3725000 4321000 5401250 7450000 8642000 10802500 13503125 21605000 27006250 43210000 54012500 108025000 216050000