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2228793 = 37211503
BaseRepresentation
bin1000100000001000111001
311012020022220
420200020321
51032310133
6115434253
724641640
oct10401071
94166286
102228793
111292586
128b5989
13600618
14420357
152e05b3
hex220239

2228793 has 16 divisors (see below), whose sum is σ = 3419136. Its totient is φ = 1265040.

The previous prime is 2228783. The next prime is 2228797. The reversal of 2228793 is 3978222.

It is not a de Polignac number, because 2228793 - 24 = 2228777 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 27 + 217 + 221 + 8 + 73 + 9 + 34 .

2228793 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2228797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4180 + ... + 4682.

It is an arithmetic number, because the mean of its divisors is an integer number (213696).

22228793 is an apocalyptic number.

It is an amenable number.

2228793 is a deficient number, since it is larger than the sum of its proper divisors (1190343).

2228793 is a wasteful number, since it uses less digits than its factorization.

2228793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724.

The product of its digits is 12096, while the sum is 33.

The square root of 2228793 is about 1492.9142641157. The cubic root of 2228793 is about 130.6240801046.

The spelling of 2228793 in words is "two million, two hundred twenty-eight thousand, seven hundred ninety-three".

Divisors: 1 3 7 21 211 503 633 1477 1509 3521 4431 10563 106133 318399 742931 2228793