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2223761 is a prime number
BaseRepresentation
bin1000011110111010010001
311011222102112
420132322101
51032130021
6115355105
724621161
oct10367221
94158375
102223761
111289821
128b2a95
135cb247
1441c5a1
152ddd5b
hex21ee91

2223761 has 2 divisors, whose sum is σ = 2223762. Its totient is φ = 2223760.

The previous prime is 2223757. The next prime is 2223773. The reversal of 2223761 is 1673222.

2223761 is nontrivially palindromic in base 11.

2223761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1809025 + 414736 = 1345^2 + 644^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223761 - 22 = 2223757 is a prime.

It is a super-2 number, since 2×22237612 = 9890225970242, which contains 22 as substring.

It is a Chen prime.

It is a d-powerful number, because it can be written as 212 + 220 + 220 + 310 + 75 + 66 + 1 .

It is not a weakly prime, because it can be changed into another prime (2223701) 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, 1111880 + 1111881.

It is an arithmetic number, because the mean of its divisors is an integer number (1111881).

22223761 is an apocalyptic number.

It is an amenable number.

2223761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223761 is an equidigital number, since it uses as much as digits as its factorization.

2223761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 23.

The square root of 2223761 is about 1491.2280174407. The cubic root of 2223761 is about 130.5257016460.

Adding to 2223761 its reverse (1673222), we get a palindrome (3896983).

The spelling of 2223761 in words is "two million, two hundred twenty-three thousand, seven hundred sixty-one".