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214200 = 233252717
BaseRepresentation
bin110100010010111000
3101212211100
4310102320
523323300
64331400
71551330
oct642270
9355740
10214200
11136a28
12a3b60
137665c
14580c0
1543700
hex344b8

214200 has 144 divisors (see below), whose sum is σ = 870480. Its totient is φ = 46080.

The previous prime is 214189. The next prime is 214211. The reversal of 214200 is 2412.

214200 = 103 + 113 + ... + 303.

It is an interprime number because it is at equal distance from previous prime (214189) and next prime (214211).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12592 + ... + 12608.

It is an arithmetic number, because the mean of its divisors is an integer number (6045).

2214200 is an apocalyptic number.

214200 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 214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240).

214200 is an abundant number, since it is smaller than the sum of its proper divisors (656280).

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

214200 is a wasteful number, since it uses less digits than its factorization.

214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 214200 is about 462.8174586162. The cubic root of 214200 is about 59.8328682150.

Adding to 214200 its reverse (2412), we get a palindrome (216612).

It can be divided in two parts, 214 and 200, that added together give a palindrome (414).

The spelling of 214200 in words is "two hundred fourteen thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 25 28 30 34 35 36 40 42 45 50 51 56 60 63 68 70 72 75 84 85 90 100 102 105 119 120 126 136 140 150 153 168 170 175 180 200 204 210 225 238 252 255 280 300 306 315 340 350 357 360 408 420 425 450 476 504 510 525 595 600 612 630 680 700 714 765 840 850 900 952 1020 1050 1071 1190 1224 1260 1275 1400 1428 1530 1575 1700 1785 1800 2040 2100 2142 2380 2520 2550 2856 2975 3060 3150 3400 3570 3825 4200 4284 4760 5100 5355 5950 6120 6300 7140 7650 8568 8925 10200 10710 11900 12600 14280 15300 17850 21420 23800 26775 30600 35700 42840 53550 71400 107100 214200