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2240000251 is a prime number
BaseRepresentation
bin1000010110000011…
…1011000011111011
312210002221210200021
42011200323003323
514041420002001
61010134551311
7106336454656
oct20540730373
95702853607
102240000251
11a4a470385
12526208537
132990c8348
141736d089d
15d19bdba1
hex8583b0fb

2240000251 has 2 divisors, whose sum is σ = 2240000252. Its totient is φ = 2240000250.

The previous prime is 2240000237. The next prime is 2240000261. The reversal of 2240000251 is 1520000422.

2240000251 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 is a cyclic number.

It is not a de Polignac number, because 2240000251 - 225 = 2206445819 is a prime.

It is a super-3 number, since 3×22400002513 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2240000261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120000125 + 1120000126.

It is an arithmetic number, because the mean of its divisors is an integer number (1120000126).

Almost surely, 22240000251 is an apocalyptic number.

2240000251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240000251 is an equidigital number, since it uses as much as digits as its factorization.

2240000251 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2240000251 is about 47328.6409164683. The cubic root of 2240000251 is about 1308.4265729467.

Adding to 2240000251 its reverse (1520000422), we get a palindrome (3760000673).

The spelling of 2240000251 in words is "two billion, two hundred forty million, two hundred fifty-one", and thus it is an aban number.