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2246144 = 2941107
BaseRepresentation
bin1000100100011000000000
311020010010112
420210120000
51033334034
6120050452
725043345
oct10443000
94203115
102246144
1112a461a
12903a28
136084a4
144267cc
152e57ce
hex224600

2246144 has 40 divisors (see below), whose sum is σ = 4640328. Its totient is φ = 1085440.

The previous prime is 2246143. The next prime is 2246147. The reversal of 2246144 is 4416422.

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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20939 + ... + 21045.

22246144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320164).

2246144 is an abundant number, since it is smaller than the sum of its proper divisors (2394184).

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

2246144 is an equidigital number, since it uses as much as digits as its factorization.

2246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 2246144 is about 1498.7141155004. The cubic root of 2246144 is about 130.9621707680.

The spelling of 2246144 in words is "two million, two hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 107 128 164 214 256 328 428 512 656 856 1312 1712 2624 3424 4387 5248 6848 8774 10496 13696 17548 20992 27392 35096 54784 70192 140384 280768 561536 1123072 2246144