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2191300 = 2252171289
BaseRepresentation
bin1000010110111111000100
311010022220021
420112333010
51030110200
6114544524
724424426
oct10267704
94108807
102191300
1112673a1
12898144
135b9537
14410816
152d441a
hex216fc4

2191300 has 36 divisors (see below), whose sum is σ = 5038740. Its totient is φ = 824320.

The previous prime is 2191291. The next prime is 2191331. The reversal of 2191300 is 31912.

2191300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 2125764 = 256^2 + 1458^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056 + ... + 2344.

It is an arithmetic number, because the mean of its divisors is an integer number (139965).

22191300 is an apocalyptic number.

2191300 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 2191300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519370).

2191300 is an abundant number, since it is smaller than the sum of its proper divisors (2847440).

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

2191300 is a wasteful number, since it uses less digits than its factorization.

2191300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2191300 is about 1480.3040228277. The cubic root of 2191300 is about 129.8874765963.

The spelling of 2191300 in words is "two million, one hundred ninety-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1289 1700 2578 5156 6445 12890 21913 25780 32225 43826 64450 87652 109565 128900 219130 438260 547825 1095650 2191300