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223113220 = 225115917189
BaseRepresentation
bin11010100110001…
…11000000000100
3120112211022210121
431103013000010
5424104110340
634050031324
75346300601
oct1523070004
9515738717
10223113220
11104a3a2a0
1262878544
13372ba775
14218bb6a8
15148c294a
hexd4c7004

223113220 has 48 divisors (see below), whose sum is σ = 519825600. Its totient is φ = 79752320.

The previous prime is 223113217. The next prime is 223113223. The reversal of 223113220 is 22311322.

It is an interprime number because it is at equal distance from previous prime (223113217) and next prime (223113223).

It is a super-3 number, since 3×2231132203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223113194 and 223113203.

It is not an unprimeable number, because it can be changed into a prime (223113223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4386 + ... + 21574.

It is an arithmetic number, because the mean of its divisors is an integer number (10829700).

Almost surely, 2223113220 is an apocalyptic number.

223113220 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 223113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259912800).

223113220 is an abundant number, since it is smaller than the sum of its proper divisors (296712380).

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

223113220 is a wasteful number, since it uses less digits than its factorization.

223113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17268 (or 17266 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 223113220 is about 14936.9749280100. The cubic root of 223113220 is about 606.5153099583.

Adding to 223113220 its reverse (22311322), we get a palindrome (245424542).

It can be divided in two parts, 2231 and 13220, that added together give a palindrome (15451).

The spelling of 223113220 in words is "two hundred twenty-three million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 17189 34378 68756 85945 171890 189079 343780 378158 756316 945395 1014151 1890790 2028302 3781580 4056604 5070755 10141510 11155661 20283020 22311322 44622644 55778305 111556610 223113220