Search a number
-
+
223896 = 23319491
BaseRepresentation
bin110110101010011000
3102101010110
4312222120
524131041
64444320
71621521
oct665230
9371113
10223896
11143242
12a96a0
137abaa
145b848
1546516
hex36a98

223896 has 32 divisors (see below), whose sum is σ = 590400. Its totient is φ = 70560.

The previous prime is 223849. The next prime is 223903. The reversal of 223896 is 698322.

223896 = T89 + T90 + ... + T126.

223896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 22 + 24 + 82 + 311 + 9 + 66 .

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

223896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (18450).

2223896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295200).

223896 is an abundant number, since it is smaller than the sum of its proper divisors (366504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223896 is a wasteful number, since it uses less digits than its factorization.

223896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 223896 is about 473.1764998391. The cubic root of 223896 is about 60.7223790167.

The spelling of 223896 in words is "two hundred twenty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 491 982 1473 1964 2946 3928 5892 9329 11784 18658 27987 37316 55974 74632 111948 223896