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223195230 = 23355914011
BaseRepresentation
bin11010100110110…
…11000001011110
3120112222111022000
431103123001132
5424114221410
634051503130
75350061646
oct1523330136
9515874260
10223195230
11104a95975
12628b7aa6
1337318bab
14218dd526
15148dbdc0
hexd4db05e

223195230 has 64 divisors (see below), whose sum is σ = 605318400. Its totient is φ = 58505760.

The previous prime is 223195229. The next prime is 223195249. The reversal of 223195230 is 32591322.

It is a super-3 number, since 3×2231952303 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223195194 and 223195203.

It is a congruent number.

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, 8925 + ... + 22935.

It is an arithmetic number, because the mean of its divisors is an integer number (9458100).

Almost surely, 2223195230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223195230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302659200).

223195230 is an abundant number, since it is smaller than the sum of its proper divisors (382123170).

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

223195230 is a wasteful number, since it uses less digits than its factorization.

223195230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086 (or 14080 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 223195230 is about 14939.7198768919. The cubic root of 223195230 is about 606.5896133806.

It can be divided in two parts, 2231 and 95230, that added together give a triangular number (97461 = T441).

The spelling of 223195230 in words is "two hundred twenty-three million, one hundred ninety-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1770 2655 3186 5310 7965 14011 15930 28022 42033 70055 84066 126099 140110 210165 252198 378297 420330 630495 756594 826649 1260990 1653298 1891485 2479947 3782970 4133245 4959894 7439841 8266490 12399735 14879682 22319523 24799470 37199205 44639046 74398410 111597615 223195230