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216110000 = 245421611
BaseRepresentation
bin11001110000110…
…01001110110000
3120001122112012002
430320121032300
5420311010000
633235553132
75232622211
oct1470311660
9501575162
10216110000
11100a96707
126045b7a8
1335a07c52
14209b7408
1513e8c8d5
hexce193b0

216110000 has 50 divisors (see below), whose sum is σ = 523248132. Its totient is φ = 86440000.

The previous prime is 216109997. The next prime is 216110017. The reversal of 216110000 is 11612.

216110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 806 + ... + 20805.

Almost surely, 2216110000 is an apocalyptic number.

216110000 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 216110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261624066).

216110000 is an abundant number, since it is smaller than the sum of its proper divisors (307138132).

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

216110000 is an equidigital number, since it uses as much as digits as its factorization.

216110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21639 (or 21618 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 216110000 is about 14700.6802563691. The cubic root of 216110000 is about 600.1018345671.

Adding to 216110000 its reverse (11612), we get a palindrome (216121612).

The spelling of 216110000 in words is "two hundred sixteen million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21611 43222 86444 108055 172888 216110 345776 432220 540275 864440 1080550 1728880 2161100 2701375 4322200 5402750 8644400 10805500 13506875 21611000 27013750 43222000 54027500 108055000 216110000