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223920 = 24325311
BaseRepresentation
bin110110101010110000
3102101011100
4312222300
524131140
64444400
71621554
oct665260
9371140
10223920
11143264
12a9700
137abc8
145b864
1546530
hex36ab0

223920 has 60 divisors (see below), whose sum is σ = 754416. Its totient is φ = 59520.

The previous prime is 223919. The next prime is 223921. The reversal of 223920 is 29322.

223920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223919) and next prime (223921).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 223893 and 223902.

It is not an unprimeable number, because it can be changed into a prime (223921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 565 + ... + 875.

2223920 is an apocalyptic number.

223920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377208).

223920 is an abundant number, since it is smaller than the sum of its proper divisors (530496).

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

223920 is a wasteful number, since it uses less digits than its factorization.

223920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 223920 is about 473.2018596751. The cubic root of 223920 is about 60.7245486029.

The spelling of 223920 in words is "two hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 311 360 622 720 933 1244 1555 1866 2488 2799 3110 3732 4665 4976 5598 6220 7464 9330 11196 12440 13995 14928 18660 22392 24880 27990 37320 44784 55980 74640 111960 223920