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223210020 = 223511338197
BaseRepresentation
bin11010100110111…
…10101000100100
3120120000020120210
431103132220210
5424120210040
634052055420
75350153035
oct1523365044
9516006523
10223210020
11104aa5aa0
1262904570
1337322847
1421904a8c
15148e1480
hexd4dea24

223210020 has 48 divisors (see below), whose sum is σ = 681807168. Its totient is φ = 54111360.

The previous prime is 223210007. The next prime is 223210063. The reversal of 223210020 is 20012322.

223210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232100203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 223209978 and 223210005.

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, 168439 + ... + 169758.

It is an arithmetic number, because the mean of its divisors is an integer number (14204316).

Almost surely, 2223210020 is an apocalyptic number.

223210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223210020 is an abundant number, since it is smaller than the sum of its proper divisors (458597148).

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

223210020 is a wasteful number, since it uses less digits than its factorization.

223210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338220 (or 338218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 223210020 is about 14940.2148578928. The cubic root of 223210020 is about 606.6030116094.

Adding to 223210020 its reverse (20012322), we get a palindrome (243222342).

The spelling of 223210020 in words is "two hundred twenty-three million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 338197 676394 1014591 1352788 1690985 2029182 3381970 3720167 4058364 5072955 6763940 7440334 10145910 11160501 14880668 18600835 20291820 22321002 37201670 44642004 55802505 74403340 111605010 223210020