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2301289 = 372412
BaseRepresentation
bin1000110001110101101001
311022220202221
420301311221
51042120124
6121154041
725363204
oct10616551
94286687
102301289
111331aa1
1292b921
13627613
1443c93b
15306ce4
hex231d69

2301289 has 9 divisors (see below), whose sum is σ = 2424261. Its totient is φ = 2184480.

The previous prime is 2301287. The next prime is 2301293. The reversal of 2301289 is 9821032.

The square root of 2301289 is 1517.

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

2301289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27225 + 2274064 = 165^2 + 1508^2 .

It is not a de Polignac number, because 2301289 - 21 = 2301287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2301281) 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 in 8 ways as a sum of consecutive naturals, for example, 56109 + ... + 56149.

22301289 is an apocalyptic number.

2301289 is the 1517-th square number.

2301289 is the 759-th centered octagonal number.

It is an amenable number.

2301289 is a deficient number, since it is larger than the sum of its proper divisors (122972).

2301289 is an frugal number, since it uses more digits than its factorization.

2301289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 2301289 is about 132.0252668192.

Multiplying 2301289 by its sum of digits (25), we get a square (57532225 = 75852).

The spelling of 2301289 in words is "two million, three hundred one thousand, two hundred eighty-nine".

Divisors: 1 37 41 1369 1517 1681 56129 62197 2301289