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216887000 = 23531119717
BaseRepresentation
bin11001110110101…
…10111011011000
3120010010000000212
430323112323120
5421010341000
633304350252
75242336421
oct1473267330
9503100025
10216887000
11101477460
1260775388
1335c1a805
1420b3a648
1514092c35
hexced6ed8

216887000 has 64 divisors (see below), whose sum is σ = 553681440. Its totient is φ = 78864000.

The previous prime is 216886993. The next prime is 216887023. The reversal of 216887000 is 788612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142 + ... + 20858.

Almost surely, 2216887000 is an apocalyptic number.

216887000 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 216887000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276840720).

216887000 is an abundant number, since it is smaller than the sum of its proper divisors (336794440).

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

216887000 is a wasteful number, since it uses less digits than its factorization.

216887000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19749 (or 19735 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 216887000 is about 14727.0838932899. The cubic root of 216887000 is about 600.8201746414.

The spelling of 216887000 in words is "two hundred sixteen million, eight hundred eighty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 19717 39434 78868 98585 157736 197170 216887 394340 433774 492925 788680 867548 985850 1084435 1735096 1971700 2168870 2464625 3943400 4337740 4929250 5422175 8675480 9858500 10844350 19717000 21688700 27110875 43377400 54221750 108443500 216887000