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2224753 is a prime number
BaseRepresentation
bin1000011111001001110001
311012000210021
420133021301
51032143003
6115403441
724624106
oct10371161
94160707
102224753
11128a543
128b3581
135cb82b
1441caad
152de2bd
hex21f271

2224753 has 2 divisors, whose sum is σ = 2224754. Its totient is φ = 2224752.

The previous prime is 2224741. The next prime is 2224757. The reversal of 2224753 is 3574222.

2224753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 10609 = 1488^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 2224753 - 221 = 127601 is a prime.

It is a super-2 number, since 2×22247532 = 9899051822018, which contains 22 as substring.

It is a d-powerful number, because it can be written as 25 + 215 + 221 + 47 + 72 + 57 + 35 .

2224753 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2224757) 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 as a sum of consecutive naturals, namely, 1112376 + 1112377.

It is an arithmetic number, because the mean of its divisors is an integer number (1112377).

22224753 is an apocalyptic number.

It is an amenable number.

2224753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224753 is an equidigital number, since it uses as much as digits as its factorization.

2224753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 25.

The square root of 2224753 is about 1491.5605921316. The cubic root of 2224753 is about 130.5451075454.

Adding to 2224753 its reverse (3574222), we get a palindrome (5798975).

The spelling of 2224753 in words is "two million, two hundred twenty-four thousand, seven hundred fifty-three".