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2251729 is a prime number
BaseRepresentation
bin1000100101101111010001
311020101210101
420211233101
51034023404
6120132401
725065544
oct10455721
94211711
102251729
1112a8837
12907101
1360abac
1442885b
152e72a4
hex225bd1

2251729 has 2 divisors, whose sum is σ = 2251730. Its totient is φ = 2251728.

The previous prime is 2251727. The next prime is 2251741. The reversal of 2251729 is 9271522.

2251729 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., 1392400 + 859329 = 1180^2 + 927^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251729 - 21 = 2251727 is a prime.

Together with 2251727, it forms a pair of twin primes.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2251697 and 2251706.

It is not a weakly prime, because it can be changed into another prime (2251727) 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, 1125864 + 1125865.

It is an arithmetic number, because the mean of its divisors is an integer number (1125865).

22251729 is an apocalyptic number.

It is an amenable number.

2251729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251729 is an equidigital number, since it uses as much as digits as its factorization.

2251729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 28.

The square root of 2251729 is about 1500.5762226558. The cubic root of 2251729 is about 131.0706260193.

The spelling of 2251729 in words is "two million, two hundred fifty-one thousand, seven hundred twenty-nine".