Search a number
-
+
223066580 = 2251110110039
BaseRepresentation
bin11010100101110…
…11100111010100
3120112201221211012
431102323213110
5424101112310
634045031352
75346014612
oct1522734724
9515657735
10223066580
11104a08250
1262855558
13372a2479
14218a86b2
15148b3c05
hexd4bb9d4

223066580 has 48 divisors (see below), whose sum is σ = 516136320. Its totient is φ = 80304000.

The previous prime is 223066577. The next prime is 223066589. The reversal of 223066580 is 85660322.

It is a super-2 number, since 2×2230665802 = 99517398225792800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223066589) 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, 17201 + ... + 27239.

It is an arithmetic number, because the mean of its divisors is an integer number (10752840).

Almost surely, 2223066580 is an apocalyptic number.

223066580 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 223066580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258068160).

223066580 is an abundant number, since it is smaller than the sum of its proper divisors (293069740).

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

223066580 is a wasteful number, since it uses less digits than its factorization.

223066580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10160 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 223066580 is about 14935.4136199839. The cubic root of 223066580 is about 606.4730446525.

The spelling of 223066580 in words is "two hundred twenty-three million, sixty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 10039 11110 20078 22220 40156 50195 100390 110429 200780 220858 441716 552145 1013939 1104290 2027878 2208580 4055756 5069695 10139390 11153329 20278780 22306658 44613316 55766645 111533290 223066580