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2217393 = 32433569
BaseRepresentation
bin1000011101010110110001
311011122200200
420131112301
51031424033
6115305413
724563463
oct10352661
94148620
102217393
111284a62
128ab269
135c8389
1441a133
152dc013
hex21d5b1

2217393 has 12 divisors (see below), whose sum is σ = 3215940. Its totient is φ = 1472256.

The previous prime is 2217379. The next prime is 2217409. The reversal of 2217393 is 3937122.

2217393 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 2 ways, for example, as 304704 + 1912689 = 552^2 + 1383^2 .

It is not a de Polignac number, because 2217393 - 26 = 2217329 is a prime.

2217393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2217343) 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 11 ways as a sum of consecutive naturals, for example, 3613 + ... + 4181.

It is an arithmetic number, because the mean of its divisors is an integer number (267995).

22217393 is an apocalyptic number.

It is an amenable number.

2217393 is a deficient number, since it is larger than the sum of its proper divisors (998547).

2217393 is a wasteful number, since it uses less digits than its factorization.

2217393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1005 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 2217393 is about 1489.0913336663. The cubic root of 2217393 is about 130.4009906520.

The spelling of 2217393 in words is "two million, two hundred seventeen thousand, three hundred ninety-three".

Divisors: 1 3 9 433 569 1299 1707 3897 5121 246377 739131 2217393