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223324660 = 225136114081
BaseRepresentation
bin11010100111110…
…10100111110100
3120120020001211201
431103322213310
5424132342120
634054342244
75351141206
oct1523724764
9516201751
10223324660
11105074139
126295a984
1337362a90
1421934776
151491540a
hexd4fa9f4

223324660 has 48 divisors (see below), whose sum is σ = 513373392. Its totient is φ = 81100800.

The previous prime is 223324657. The next prime is 223324667. The reversal of 223324660 is 66423322.

It can be written as a sum of positive squares in 8 ways, for example, as 31945104 + 191379556 = 5652^2 + 13834^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223324667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8820 + ... + 22900.

It is an arithmetic number, because the mean of its divisors is an integer number (10695279).

Almost surely, 2223324660 is an apocalyptic number.

223324660 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 223324660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256686696).

223324660 is an abundant number, since it is smaller than the sum of its proper divisors (290048732).

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

223324660 is a wasteful number, since it uses less digits than its factorization.

223324660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14164 (or 14162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 223324660 is about 14944.0509902770. The cubic root of 223324660 is about 606.7068436675.

Adding to 223324660 its reverse (66423322), we get a palindrome (289747982).

The spelling of 223324660 in words is "two hundred twenty-three million, three hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3965 7930 14081 15860 28162 56324 70405 140810 183053 281620 366106 732212 858941 915265 1717882 1830530 3435764 3661060 4294705 8589410 11166233 17178820 22332466 44664932 55831165 111662330 223324660