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2132200 = 235271523
BaseRepresentation
bin1000001000100011101000
311000022211101
420020203220
51021212300
6113411144
724060220
oct10104350
94008741
102132200
111226a54
12869ab4
13598675
143d7080
152c1b6a
hex2088e8

2132200 has 48 divisors (see below), whose sum is σ = 5669280. Its totient is φ = 730560.

The previous prime is 2132177. The next prime is 2132209. The reversal of 2132200 is 22312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2132209) 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, 639 + ... + 2161.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

22132200 is an apocalyptic number.

2132200 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 2132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834640).

2132200 is an abundant number, since it is smaller than the sum of its proper divisors (3537080).

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

2132200 is a wasteful number, since it uses less digits than its factorization.

2132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2132200 is about 1460.2054649946. The cubic root of 2132200 is about 128.7091176322.

Adding to 2132200 its reverse (22312), we get a palindrome (2154512).

It can be divided in two parts, 2132 and 200, that added together give a palindrome (2332).

The spelling of 2132200 in words is "two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1523 3046 6092 7615 10661 12184 15230 21322 30460 38075 42644 53305 60920 76150 85288 106610 152300 213220 266525 304600 426440 533050 1066100 2132200