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221200 = 2452779
BaseRepresentation
bin110110000000010000
3102020102121
4312000100
524034300
64424024
71610620
oct660020
9366377
10221200
11141211
12a8014
13798b5
145a880
154581a
hex36010

221200 has 60 divisors (see below), whose sum is σ = 615040. Its totient is φ = 74880.

The previous prime is 221197. The next prime is 221201. The reversal of 221200 is 2122.

Adding to 221200 its reverse (2122), we get a palindrome (223322).

221200 = T71 + T72 + ... + T118.

It is a happy number.

221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2761 + ... + 2839.

2221200 is an apocalyptic number.

221200 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 221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307520).

221200 is an abundant number, since it is smaller than the sum of its proper divisors (393840).

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

221200 is a wasteful number, since it uses less digits than its factorization.

221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 221200 is about 470.3190406522. The cubic root of 221200 is about 60.4776686017.

The spelling of 221200 in words is "two hundred twenty-one thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 79 80 100 112 140 158 175 200 280 316 350 395 400 553 560 632 700 790 1106 1264 1400 1580 1975 2212 2765 2800 3160 3950 4424 5530 6320 7900 8848 11060 13825 15800 22120 27650 31600 44240 55300 110600 221200