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214900 = 22527307
BaseRepresentation
bin110100011101110100
3101220210021
4310131310
523334100
64334524
71553350
oct643564
9356707
10214900
11137504
12a4444
1376a7a
1458460
1543a1a
hex34774

214900 has 36 divisors (see below), whose sum is σ = 534688. Its totient is φ = 73440.

The previous prime is 214891. The next prime is 214913. The reversal of 214900 is 9412.

214900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547 + ... + 853.

2214900 is an apocalyptic number.

214900 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 214900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267344).

214900 is an abundant number, since it is smaller than the sum of its proper divisors (319788).

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

214900 is a wasteful number, since it uses less digits than its factorization.

214900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 214900 is about 463.5730794600. The cubic root of 214900 is about 59.8979747607.

The spelling of 214900 in words is "two hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 307 350 614 700 1228 1535 2149 3070 4298 6140 7675 8596 10745 15350 21490 30700 42980 53725 107450 214900