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223030220 = 225710115773
BaseRepresentation
bin11010100101100…
…10101111001100
3120112200002221112
431102302233030
5424043431340
634044151152
75345503610
oct1522625714
9515602845
10223030220
111049929a6
12628384b8
133728ba5a
1421899340
15148a8065
hexd4b2bcc

223030220 has 48 divisors (see below), whose sum is σ = 540606528. Its totient is φ = 75705600.

The previous prime is 223030219. The next prime is 223030231. The reversal of 223030220 is 22030322.

It is a super-3 number, since 3×2230302203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 223030195 and 223030204.

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, 6254 + ... + 22026.

It is an arithmetic number, because the mean of its divisors is an integer number (11262636).

Almost surely, 2223030220 is an apocalyptic number.

223030220 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 223030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270303264).

223030220 is an abundant number, since it is smaller than the sum of its proper divisors (317576308).

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

223030220 is a wasteful number, since it uses less digits than its factorization.

223030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15890 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 223030220 is about 14934.1963292304. The cubic root of 223030220 is about 606.4400910262.

Adding to 223030220 its reverse (22030322), we get a palindrome (245060542).

It can be divided in two parts, 2230302 and 20, that added together give a palindrome (2230322).

The spelling of 223030220 in words is "two hundred twenty-three million, thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 15773 31546 63092 78865 110411 157730 220822 315460 441644 552055 1104110 1593073 2208220 3186146 6372292 7965365 11151511 15930730 22303022 31861460 44606044 55757555 111515110 223030220