Search a number
223015 = 5134773
BaseRepresentation
bin110110011100100111
3102022220211
4312130213
524114030
64440251
71616122
oct663447
9368824
10223015
11142611
12a9087
137a680
145b3b9
154612a
hex36727

223015 has 16 divisors (see below), whose sum is σ = 298368. Its totient is φ = 158976.

The previous prime is 223009. The next prime is 223019. The reversal of 223015 is 510322.

223015 = 102 + 112 + ... + 872.

It is a cyclic number.

It is not a de Polignac number, because 223015 - 23 = 223007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a d-powerful number, because it can be written as 215 + 217 + 0 + 310 + 1 + 53 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222986 and 223004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223019) 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 15 ways as a sum of consecutive naturals, for example, 3019 + ... + 3091.

It is an arithmetic number, because the mean of its divisors is an integer number (18648).

2223015 is an apocalyptic number.

223015 is a deficient number, since it is larger than the sum of its proper divisors (75353).

223015 is a wasteful number, since it uses less digits than its factorization.

223015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 223015 is about 472.2446399908. The cubic root of 223015 is about 60.6426295843.

Adding to 223015 its reverse (510322), we get a palindrome (733337).

The spelling of 223015 in words is "two hundred twenty-three thousand, fifteen".