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223890 = 23517439
BaseRepresentation
bin110110101010010010
3102101010020
4312222102
524131030
64444310
71621512
oct665222
9371106
10223890
11143237
12a9696
137aba4
145b842
1546510
hex36a92

223890 has 32 divisors (see below), whose sum is σ = 570240. Its totient is φ = 56064.

The previous prime is 223849. The next prime is 223903. The reversal of 223890 is 98322.

223890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 6 and base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 223890.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2223890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285120).

223890 is an abundant number, since it is smaller than the sum of its proper divisors (346350).

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

223890 is a wasteful number, since it uses less digits than its factorization.

223890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 223890 is about 473.1701596677. The cubic root of 223890 is about 60.7218365959.

The spelling of 223890 in words is "two hundred twenty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 439 510 878 1317 2195 2634 4390 6585 7463 13170 14926 22389 37315 44778 74630 111945 223890