Search a number
-
+
2188000 = 2553547
BaseRepresentation
bin1000010110001011100000
311010011101001
420112023200
51030004000
6114521344
724412003
oct10261340
94104331
102188000
111264971
12896254
135b7b99
1440d53a
152d346a
hex2162e0

2188000 has 48 divisors (see below), whose sum is σ = 5385744. Its totient is φ = 873600.

The previous prime is 2187979. The next prime is 2188001. The reversal of 2188000 is 8812.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2188001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3727 + ... + 4273.

It is an arithmetic number, because the mean of its divisors is an integer number (112203).

22188000 is an apocalyptic number.

2188000 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 2188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692872).

2188000 is an abundant number, since it is smaller than the sum of its proper divisors (3197744).

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

2188000 is an equidigital number, since it uses as much as digits as its factorization.

2188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 2188000 is about 1479.1889669680. The cubic root of 2188000 is about 129.8222422578.

The spelling of 2188000 in words is "two million, one hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 547 800 1000 1094 2000 2188 2735 4000 4376 5470 8752 10940 13675 17504 21880 27350 43760 54700 68375 87520 109400 136750 218800 273500 437600 547000 1094000 2188000