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2246140 = 2251353163
BaseRepresentation
bin1000100100010111111100
311020010010101
420210113330
51033334030
6120050444
725043341
oct10442774
94203111
102246140
1112a4616
12903a24
136084a0
144267c8
152e57ca
hex2245fc

2246140 has 48 divisors (see below), whose sum is σ = 5207328. Its totient is φ = 808704.

The previous prime is 2246129. The next prime is 2246141. The reversal of 2246140 is 416422.

2246140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2246140 is a nontrivial binomial coefficient, being equal to C(2120, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246141) 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, 13699 + ... + 13861.

It is an arithmetic number, because the mean of its divisors is an integer number (108486).

22246140 is an apocalyptic number.

2246140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2246140 is the 2119-th triangular number and also the 1060-th hexagonal number.

2246140 is the 707-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603664).

2246140 is an abundant number, since it is smaller than the sum of its proper divisors (2961188).

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

2246140 is a wasteful number, since it uses less digits than its factorization.

2246140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2246140 is about 1498.7127810224. The cubic root of 2246140 is about 130.9620930276.

The spelling of 2246140 in words is "two million, two hundred forty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 163 212 260 265 326 530 652 689 815 1060 1378 1630 2119 2756 3260 3445 4238 6890 8476 8639 10595 13780 17278 21190 34556 42380 43195 86390 112307 172780 224614 449228 561535 1123070 2246140