Search a number
-
+
223947 = 32149167
BaseRepresentation
bin110110101011001011
3102101012100
4312223023
524131242
64444443
71621623
oct665313
9371170
10223947
11143289
12a9723
137ac19
145b883
154654c
hex36acb

223947 has 12 divisors (see below), whose sum is σ = 327600. Its totient is φ = 147408.

The previous prime is 223939. The next prime is 223963. The reversal of 223947 is 749322.

It is not a de Polignac number, because 223947 - 23 = 223939 is a prime.

It is a d-powerful number, because it can be written as 215 + 217 + 95 + 33 + 45 + 7 .

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 223947.

It is not an unprimeable number, because it can be changed into a prime (223247) 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, 1258 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2223947 is an apocalyptic number.

223947 is a deficient number, since it is larger than the sum of its proper divisors (103653).

223947 is a wasteful number, since it uses less digits than its factorization.

223947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 319 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 223947 is about 473.2303878662. The cubic root of 223947 is about 60.7269892021.

It can be divided in two parts, 22 and 3947, that added together give a square (3969 = 632).

The spelling of 223947 in words is "two hundred twenty-three thousand, nine hundred forty-seven".

Divisors: 1 3 9 149 167 447 501 1341 1503 24883 74649 223947