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223324000 = 2553311801
BaseRepresentation
bin11010100111110…
…10011101100000
3120120020000221021
431103322131200
5424132332000
634054335224
75351136244
oct1523723540
9516200837
10223324000
11105073699
126295a514
13373626a3
1421934424
151491511a
hexd4fa760

223324000 has 96 divisors (see below), whose sum is σ = 566721792. Its totient is φ = 86400000.

The previous prime is 223323979. The next prime is 223324037. The reversal of 223324000 is 423322.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123100 + ... + 124900.

It is an arithmetic number, because the mean of its divisors is an integer number (5903352).

Almost surely, 2223324000 is an apocalyptic number.

223324000 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 223324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283360896).

223324000 is an abundant number, since it is smaller than the sum of its proper divisors (343397792).

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

223324000 is a wasteful number, since it uses less digits than its factorization.

223324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 223324000 is about 14944.0289078950. The cubic root of 223324000 is about 606.7062459921.

Adding to 223324000 its reverse (423322), we get a palindrome (223747322).

The spelling of 223324000 in words is "two hundred twenty-three million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 1801 2000 2480 3100 3602 3875 4000 4960 6200 7204 7750 9005 12400 14408 15500 18010 24800 28816 31000 36020 45025 55831 57632 62000 72040 90050 111662 124000 144080 180100 223324 225125 279155 288160 360200 446648 450250 558310 720400 893296 900500 1116620 1395775 1440800 1786592 1801000 2233240 2791550 3602000 4466480 5583100 6978875 7204000 8932960 11166200 13957750 22332400 27915500 44664800 55831000 111662000 223324000