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2719201 = 172972
BaseRepresentation
bin1010010111110111100001
312010011001011
422113313201
51144003301
6134140521
732053462
oct12276741
95104034
102719201
111597a81
12ab1741
137428c4
1450ad69
1538aa51
hex297de1

2719201 has 9 divisors (see below), whose sum is σ = 2918649. Its totient is φ = 2532864.

The previous prime is 2719193. The next prime is 2719207. The reversal of 2719201 is 1029172.

The square root of 2719201 is 1649.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 159201 + 2560000 = 399^2 + 1600^2 .

It is not a de Polignac number, because 2719201 - 23 = 2719193 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2719207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27985 + ... + 28081.

22719201 is an apocalyptic number.

2719201 is the 1649-th square number.

2719201 is the 825-th centered octagonal number.

It is an amenable number.

2719201 is a deficient number, since it is larger than the sum of its proper divisors (199448).

2719201 is an frugal number, since it uses more digits than its factorization.

2719201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The cubic root of 2719201 is about 139.5769713494.

The spelling of 2719201 in words is "two million, seven hundred nineteen thousand, two hundred one".

Divisors: 1 17 97 289 1649 9409 28033 159953 2719201