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2116200 = 233523527
BaseRepresentation
bin1000000100101001101000
310222111212210
420010221220
51020204300
6113205120
723662452
oct10045150
93874783
102116200
111215a29
128607a0
135912b8
143d12d2
152bc050
hex204a68

2116200 has 48 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 564160.

The previous prime is 2116199. The next prime is 2116291. The reversal of 2116200 is 26112.

2116200 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 1164 + ... + 2363.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

22116200 is an apocalyptic number.

2116200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116200 is an abundant number, since it is smaller than the sum of its proper divisors (4445880).

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

2116200 is a wasteful number, since it uses less digits than its factorization.

2116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2116200 is about 1454.7164672196. The cubic root of 2116200 is about 128.3863651441.

The spelling of 2116200 in words is "two million, one hundred sixteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3527 7054 10581 14108 17635 21162 28216 35270 42324 52905 70540 84648 88175 105810 141080 176350 211620 264525 352700 423240 529050 705400 1058100 2116200