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2241024 = 2931459
BaseRepresentation
bin1000100011001000000000
311012212002220
420203020000
51033203044
6120011040
725022412
oct10431000
94185086
102241024
1112a0795
12900a80
13606066
144249b2
152e4019
hex223200

2241024 has 40 divisors (see below), whose sum is σ = 5974320. Its totient is φ = 746496.

The previous prime is 2241013. The next prime is 2241037. The reversal of 2241024 is 4201422.

It is a junction number, because it is equal to n+sod(n) for n = 2240994 and 2241012.

It is an unprimeable number.

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, 807 + ... + 2265.

It is an arithmetic number, because the mean of its divisors is an integer number (149358).

22241024 is an apocalyptic number.

2241024 is a gapful number since it is divisible by the number (24) 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 2241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987160).

2241024 is an abundant number, since it is smaller than the sum of its proper divisors (3733296).

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

2241024 is an equidigital number, since it uses as much as digits as its factorization.

2241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2241024 is about 1497.0050100117. The cubic root of 2241024 is about 130.8625872981.

Subtracting from 2241024 its sum of digits (15), we obtain a square (2241009 = 14972).

Adding to 2241024 its reverse (4201422), we get a palindrome (6442446).

The spelling of 2241024 in words is "two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1459 1536 2918 4377 5836 8754 11672 17508 23344 35016 46688 70032 93376 140064 186752 280128 373504 560256 747008 1120512 2241024