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2254828769 is a prime number
BaseRepresentation
bin1000011001100101…
…1111010011100001
312211010212011120122
42012121133103201
514104214010034
61011424450025
7106606504544
oct20631372341
95733764518
102254828769
11a57879256
1252b179915
1329c1ba90b
1417567085b
15d2e4c62e
hex8665f4e1

2254828769 has 2 divisors, whose sum is σ = 2254828770. Its totient is φ = 2254828768.

The previous prime is 2254828703. The next prime is 2254828777. The reversal of 2254828769 is 9678284522.

2254828769 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., 1237984225 + 1016844544 = 35185^2 + 31888^2 .

It is a cyclic number.

It is not a de Polignac number, because 2254828769 - 212 = 2254824673 is a prime.

It is a super-2 number, since 2×22548287692 = 10168505555020110722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2254828769.

It is not a weakly prime, because it can be changed into another prime (2254828789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1127414384 + 1127414385.

It is an arithmetic number, because the mean of its divisors is an integer number (1127414385).

Almost surely, 22254828769 is an apocalyptic number.

It is an amenable number.

2254828769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2254828769 is an equidigital number, since it uses as much as digits as its factorization.

2254828769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3870720, while the sum is 53.

The square root of 2254828769 is about 47485.0373170328. The cubic root of 2254828769 is about 1311.3074313685.

The spelling of 2254828769 in words is "two billion, two hundred fifty-four million, eight hundred twenty-eight thousand, seven hundred sixty-nine".