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2240333441 is a prime number
BaseRepresentation
bin1000010110001000…
…1100011010000001
312210010120201201122
42011202030122001
514042011132231
61010150042025
7106342343243
oct20542143201
95703521648
102240333441
11a4a678745
12526349315
132991b3bb8
1417377a093
15d1a3777b
hex8588c681

2240333441 has 2 divisors, whose sum is σ = 2240333442. Its totient is φ = 2240333440.

The previous prime is 2240333401. The next prime is 2240333483. The reversal of 2240333441 is 1443330422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2072889841 + 167443600 = 45529^2 + 12940^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240333441 - 210 = 2240332417 is a prime.

It is a super-3 number, since 3×22403334413 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2240333441.

It is not a weakly prime, because it can be changed into another prime (2240333401) 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, 1120166720 + 1120166721.

It is an arithmetic number, because the mean of its divisors is an integer number (1120166721).

Almost surely, 22240333441 is an apocalyptic number.

It is an amenable number.

2240333441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240333441 is an equidigital number, since it uses as much as digits as its factorization.

2240333441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2240333441 is about 47332.1607472129. The cubic root of 2240333441 is about 1308.4914439270.

Adding to 2240333441 its reverse (1443330422), we get a palindrome (3683663863).

The spelling of 2240333441 in words is "two billion, two hundred forty million, three hundred thirty-three thousand, four hundred forty-one".