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2242191 = 3732179
BaseRepresentation
bin1000100011011010001111
311012220201010
420203122033
51033222231
6120020303
725026000
oct10433217
94186633
102242191
1112a1656
12901693
13606753
144251a7
152e4546
hex22368f

2242191 has 16 divisors (see below), whose sum is σ = 3488000. Its totient is φ = 1280664.

The previous prime is 2242189. The next prime is 2242211. The reversal of 2242191 is 1912422.

2242191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2242191 - 21 = 2242189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (218000).

22242191 is an apocalyptic number.

2242191 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2242191 is a deficient number, since it is larger than the sum of its proper divisors (1245809).

2242191 is an equidigital number, since it uses as much as digits as its factorization.

2242191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2189 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 2242191 is about 1497.3947375358. The cubic root of 2242191 is about 130.8852986626.

Subtracting from 2242191 its product of digits (288), we obtain a triangular number (2241903 = T2117).

It can be divided in two parts, 224 and 2191, that added together give a triangular number (2415 = T69).

The spelling of 2242191 in words is "two million, two hundred forty-two thousand, one hundred ninety-one".

Divisors: 1 3 7 21 49 147 343 1029 2179 6537 15253 45759 106771 320313 747397 2242191