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223020 = 22335759
BaseRepresentation
bin110110011100101100
3102022221000
4312130230
524114040
64440300
71616130
oct663454
9368830
10223020
11142616
12a9090
137a685
145b3c0
1546130
hex3672c

223020 has 96 divisors (see below), whose sum is σ = 806400. Its totient is φ = 50112.

The previous prime is 223019. The next prime is 223037. The reversal of 223020 is 20322.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 222993 and 223011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3751 + ... + 3809.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2223020 is an apocalyptic number.

223020 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 223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

223020 is an abundant number, since it is smaller than the sum of its proper divisors (583380).

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

223020 is a wasteful number, since it uses less digits than its factorization.

223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 223020 is about 472.2499338274. The cubic root of 223020 is about 60.6430827838.

Adding to 223020 its reverse (20322), we get a palindrome (243342).

The spelling of 223020 in words is "two hundred twenty-three thousand, twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 59 60 63 70 84 90 105 108 118 126 135 140 177 180 189 210 236 252 270 295 315 354 378 413 420 531 540 590 630 708 756 826 885 945 1062 1180 1239 1260 1593 1652 1770 1890 2065 2124 2478 2655 3186 3540 3717 3780 4130 4956 5310 6195 6372 7434 7965 8260 10620 11151 12390 14868 15930 18585 22302 24780 31860 37170 44604 55755 74340 111510 223020