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2128200 = 233523547
BaseRepresentation
bin1000000111100101001000
311000010100020
420013211020
51021100300
6113340440
724042444
oct10074510
94003306
102128200
111223a48
12867720
135968b9
143d5824
152c08a0
hex207948

2128200 has 48 divisors (see below), whose sum is σ = 6599280. Its totient is φ = 567360.

The previous prime is 2128183. The next prime is 2128201. The reversal of 2128200 is 28212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2128200.

It is not an unprimeable number, because it can be changed into a prime (2128201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1174 + ... + 2373.

It is an arithmetic number, because the mean of its divisors is an integer number (137485).

22128200 is an apocalyptic number.

2128200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2128200 is an abundant number, since it is smaller than the sum of its proper divisors (4471080).

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

2128200 is a wasteful number, since it uses less digits than its factorization.

2128200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2128200 is about 1458.8351517564. The cubic root of 2128200 is about 128.6285812926.

The spelling of 2128200 in words is "two million, one hundred twenty-eight 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 3547 7094 10641 14188 17735 21282 28376 35470 42564 53205 70940 85128 88675 106410 141880 177350 212820 266025 354700 425640 532050 709400 1064100 2128200