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216805290 = 23513631881
BaseRepresentation
bin11001110110000…
…10111110101010
3120002221211221120
430323002332222
5421000232130
633302520110
75241546252
oct1473027652
9502854846
10216805290
11101421029
1260736036
1335bbc570
1420b18962
1514078910
hexcec2faa

216805290 has 64 divisors (see below), whose sum is σ = 561883392. Its totient is φ = 53222400.

The previous prime is 216805261. The next prime is 216805307. The reversal of 216805290 is 92508612.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245650 + ... + 246530.

It is an arithmetic number, because the mean of its divisors is an integer number (8779428).

Almost surely, 2216805290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216805290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280941696).

216805290 is an abundant number, since it is smaller than the sum of its proper divisors (345078102).

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

216805290 is a wasteful number, since it uses less digits than its factorization.

216805290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 216805290 is about 14724.3094914498. The cubic root of 216805290 is about 600.7447141745.

The spelling of 216805290 in words is "two hundred sixteen million, eight hundred five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 631 881 1262 1762 1893 2643 3155 3786 4405 5286 6310 8203 8810 9465 11453 13215 16406 18930 22906 24609 26430 34359 41015 49218 57265 68718 82030 114530 123045 171795 246090 343590 555911 1111822 1667733 2779555 3335466 5559110 7226843 8338665 14453686 16677330 21680529 36134215 43361058 72268430 108402645 216805290