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223212300 = 223524631607
BaseRepresentation
bin11010100110111…
…11001100001100
3120120000100201020
431103133030030
5424120243200
634052114140
75350162503
oct1523371414
9516010636
10223212300
11104aa7783
1262905950
13373238ac
142190583a
15148e1ea0
hexd4df30c

223212300 has 72 divisors (see below), whose sum is σ = 647625216. Its totient is φ = 59357760.

The previous prime is 223212293. The next prime is 223212313. The reversal of 223212300 is 3212322.

It is a super-3 number, since 3×2232123003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 223212300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138097 + ... + 139703.

Almost surely, 2223212300 is an apocalyptic number.

223212300 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 223212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323812608).

223212300 is an abundant number, since it is smaller than the sum of its proper divisors (424412916).

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

223212300 is a wasteful number, since it uses less digits than its factorization.

223212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223212300 is about 14940.2911618214. The cubic root of 223212300 is about 606.6050770037.

Adding to 223212300 its reverse (3212322), we get a palindrome (226424622).

The spelling of 223212300 in words is "two hundred twenty-three million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 463 926 1389 1607 1852 2315 2778 3214 4630 4821 5556 6428 6945 8035 9260 9642 11575 13890 16070 19284 23150 24105 27780 32140 34725 40175 46300 48210 69450 80350 96420 120525 138900 160700 241050 482100 744041 1488082 2232123 2976164 3720205 4464246 7440410 8928492 11160615 14880820 18601025 22321230 37202050 44642460 55803075 74404100 111606150 223212300