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800223 = 319101139
BaseRepresentation
bin11000011010111011111
31111122200220
43003113133
5201101343
625052423
76542004
oct3032737
91448626
10800223
114a7246
12327113
13220308
1416b8ab
1510c183
hexc35df

800223 has 16 divisors (see below), whose sum is σ = 1142400. Its totient is φ = 496800.

The previous prime is 800221. The next prime is 800231. The reversal of 800223 is 322008.

It is not a de Polignac number, because 800223 - 21 = 800221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800221) 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 15 ways as a sum of consecutive naturals, for example, 5688 + ... + 5826.

It is an arithmetic number, because the mean of its divisors is an integer number (71400).

2800223 is an apocalyptic number.

800223 is a deficient number, since it is larger than the sum of its proper divisors (342177).

800223 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 800223 = (220308)13.

800223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 800223 is about 894.5518431036. The cubic root of 800223 is about 92.8404014902.

The spelling of 800223 in words is "eight hundred thousand, two hundred twenty-three".

Divisors: 1 3 19 57 101 139 303 417 1919 2641 5757 7923 14039 42117 266741 800223