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38223 = 3231137
BaseRepresentation
bin1001010101001111
31221102200
421111033
52210343
6452543
7216303
oct112517
957380
1038223
1126799
121a153
1314523
14dd03
15b4d3
hex954f

38223 has 12 divisors (see below), whose sum is σ = 57408. Its totient is φ = 24480.

The previous prime is 38219. The next prime is 38231. The reversal of 38223 is 32283.

It is not a de Polignac number, because 38223 - 22 = 38219 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 38196 and 38205.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38223.

It is not an unprimeable number, because it can be changed into a prime (38273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (4784).

238223 is an apocalyptic number.

38223 is a deficient number, since it is larger than the sum of its proper divisors (19185).

38223 is a wasteful number, since it uses less digits than its factorization.

38223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 38223 is about 195.5070331216. The cubic root of 38223 is about 33.6853907978.

The spelling of 38223 in words is "thirty-eight thousand, two hundred twenty-three".

Divisors: 1 3 9 31 93 137 279 411 1233 4247 12741 38223