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2240400001 = 7245722449
BaseRepresentation
bin1000010110001001…
…1100101010000001
312210010201010000211
42011202130222001
514042020300001
61010151314121
7106343041300
oct20542345201
95703633024
102240400001
11a4a713754
1252637b941
13299208298
14173796437
15d1a4c351
hex8589ca81

2240400001 has 6 divisors (see below), whose sum is σ = 2606179650. Its totient is φ = 1920342816.

The previous prime is 2240399983. The next prime is 2240400007. The reversal of 2240400001 is 1000040422.

It can be written as a sum of positive squares in only one way, i.e., 2225952400 + 14447601 = 47180^2 + 3801^2 .

It is not a de Polignac number, because 2240400001 - 27 = 2240399873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2240400007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22861176 + ... + 22861273.

It is an arithmetic number, because the mean of its divisors is an integer number (434363275).

Almost surely, 22240400001 is an apocalyptic number.

It is an amenable number.

2240400001 is a deficient number, since it is larger than the sum of its proper divisors (365779649).

2240400001 is an equidigital number, since it uses as much as digits as its factorization.

2240400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45722463 (or 45722456 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2240400001 is about 47332.8638580004. The cubic root of 2240400001 is about 1308.5044021659.

Adding to 2240400001 its reverse (1000040422), we get a palindrome (3240440423).

The spelling of 2240400001 in words is "two billion, two hundred forty million, four hundred thousand, one".

Divisors: 1 7 49 45722449 320057143 2240400001