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214866 = 23323173
BaseRepresentation
bin110100011101010010
3101220202000
4310131102
523333431
64334430
71553301
oct643522
9356660
10214866
11137483
12a4416
1376a52
1458438
15439e6
hex34752

214866 has 32 divisors (see below), whose sum is σ = 501120. Its totient is φ = 68112.

The previous prime is 214853. The next prime is 214867. The reversal of 214866 is 668412.

214866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (15660).

2214866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250560).

214866 is an abundant number, since it is smaller than the sum of its proper divisors (286254).

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

214866 is a wasteful number, since it uses less digits than its factorization.

214866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 214866 is about 463.5364063372. The cubic root of 214866 is about 59.8948157122.

The spelling of 214866 in words is "two hundred fourteen thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 173 207 346 414 519 621 1038 1242 1557 3114 3979 4671 7958 9342 11937 23874 35811 71622 107433 214866