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223983 = 3241607
BaseRepresentation
bin110110101011101111
3102101020200
4312223233
524131413
64444543
71622004
oct665357
9371220
10223983
11143311
12a9753
137ac46
145b8ab
1546573
hex36aef

223983 has 12 divisors (see below), whose sum is σ = 331968. Its totient is φ = 145440.

The previous prime is 223969. The next prime is 223999. The reversal of 223983 is 389322.

It is not a de Polignac number, because 223983 - 26 = 223919 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223903) 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 11 ways as a sum of consecutive naturals, for example, 66 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (27664).

2223983 is an apocalyptic number.

223983 is a deficient number, since it is larger than the sum of its proper divisors (107985).

223983 is a wasteful number, since it uses less digits than its factorization.

223983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 651 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 223983 is about 473.2684227793. The cubic root of 223983 is about 60.7302430292.

It can be divided in two parts, 22 and 3983, that added together give a triangular number (4005 = T89).

The spelling of 223983 in words is "two hundred twenty-three thousand, nine hundred eighty-three".

Divisors: 1 3 9 41 123 369 607 1821 5463 24887 74661 223983