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216500000 = 2556433
BaseRepresentation
bin11001110011110…
…00011100100000
3120002101100011112
430321320130200
5420411000000
633252202452
75236135223
oct1471703440
9502340145
10216500000
11101232722
1260609428
1335b13612
1420a795ba
1514018235
hexce78720

216500000 has 84 divisors (see below), whose sum is σ = 534016602. Its totient is φ = 86400000.

The previous prime is 216499999. The next prime is 216500021. The reversal of 216500000 is 5612.

It can be written as a sum of positive squares in 7 ways, for example, as 161086864 + 55413136 = 12692^2 + 7444^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499784 + ... + 500216.

Almost surely, 2216500000 is an apocalyptic number.

216500000 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 216500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267008301).

216500000 is an abundant number, since it is smaller than the sum of its proper divisors (317516602).

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

216500000 is an frugal number, since it uses more digits than its factorization.

216500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 440 counting only the distinct ones).

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

The square root of 216500000 is about 14713.9389695622. The cubic root of 216500000 is about 600.4626061971.

Adding to 216500000 its reverse (5612), we get a palindrome (216505612).

The spelling of 216500000 in words is "two hundred sixteen million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 433 500 625 800 866 1000 1250 1732 2000 2165 2500 3125 3464 4000 4330 5000 6250 6928 8660 10000 10825 12500 13856 15625 17320 20000 21650 25000 31250 34640 43300 50000 54125 62500 69280 86600 100000 108250 125000 173200 216500 250000 270625 346400 433000 500000 541250 866000 1082500 1353125 1732000 2165000 2706250 4330000 5412500 6765625 8660000 10825000 13531250 21650000 27062500 43300000 54125000 108250000 216500000