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223205220 = 2231357
BaseRepresentation
bin11010100110111…
…01011101100100
3120120000000000000
431103131131210
5424120031340
634052021300
75350133040
oct1523353544
9516000000
10223205220
11104aa2427
1262901830
13373205c4
1421903020
15148ded30
hexd4dd764

223205220 has 168 divisors, whose sum is σ = 803538624. Its totient is φ = 51018336.

The previous prime is 223205219. The next prime is 223205231. The reversal of 223205220 is 22502322.

It is a super-3 number, since 3×2232052203 (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223205193 and 223205202.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31886457 + ... + 31886463.

It is an arithmetic number, because the mean of its divisors is an integer number (4782968).

Almost surely, 2223205220 is an apocalyptic number.

223205220 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 223205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401769312).

223205220 is an abundant number, since it is smaller than the sum of its proper divisors (580333404).

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

223205220 is an frugal number, since it uses more digits than its factorization.

223205220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 223205220 is about 14940.0542167691. The cubic root of 223205220 is about 606.5986633647.

Adding to 223205220 its reverse (22502322), we get a palindrome (245707542).

The spelling of 223205220 in words is "two hundred twenty-three million, two hundred five thousand, two hundred twenty".