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214600 = 23522937
BaseRepresentation
bin110100011001001000
3101220101011
4310121020
523331400
64333304
71552441
oct643110
9356334
10214600
11137261
12a4234
13768a9
14582c8
15438ba
hex34648

214600 has 48 divisors (see below), whose sum is σ = 530100. Its totient is φ = 80640.

The previous prime is 214589. The next prime is 214603. The reversal of 214600 is 6412.

It can be written as a sum of positive squares in 6 ways, for example, as 128164 + 86436 = 358^2 + 294^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (214603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5782 + ... + 5818.

2214600 is an apocalyptic number.

214600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214600 is the 232-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265050).

214600 is an abundant number, since it is smaller than the sum of its proper divisors (315500).

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

214600 is a wasteful number, since it uses less digits than its factorization.

214600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 214600 is about 463.2493928760. The cubic root of 214600 is about 59.8700892935.

The spelling of 214600 in words is "two hundred fourteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 29 37 40 50 58 74 100 116 145 148 185 200 232 290 296 370 580 725 740 925 1073 1160 1450 1480 1850 2146 2900 3700 4292 5365 5800 7400 8584 10730 21460 26825 42920 53650 107300 214600