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214700 = 225219113
BaseRepresentation
bin110100011010101100
3101220111212
4310122230
523332300
64333552
71552643
oct643254
9356455
10214700
11137342
12a42b8
1376955
145835a
1543935
hex346ac

214700 has 36 divisors (see below), whose sum is σ = 494760. Its totient is φ = 80640.

The previous prime is 214691. The next prime is 214723. The reversal of 214700 is 7412.

It is a happy number.

214700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214700.

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, 1844 + ... + 1956.

2214700 is an apocalyptic number.

214700 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 214700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247380).

214700 is an abundant number, since it is smaller than the sum of its proper divisors (280060).

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

214700 is a wasteful number, since it uses less digits than its factorization.

214700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 214700 is about 463.3573135281. The cubic root of 214700 is about 59.8793873352.

The spelling of 214700 in words is "two hundred fourteen thousand, seven hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 113 190 226 380 452 475 565 950 1130 1900 2147 2260 2825 4294 5650 8588 10735 11300 21470 42940 53675 107350 214700