Search a number
-
+
212330221200 = 243252193104243
BaseRepresentation
bin1100010110111111011…
…1100000111010010000
3202022001122202211011200
43011233313200322100
511434323014034300
6241313153311200
721224512046526
oct3055767407220
9668048684150
10212330221200
1182059968959
1235198b65500
131703aa03356
14a3c38dc316
1557cabc3200
hex316fde0e90

212330221200 has 180 divisors, whose sum is σ = 775626405840. Its totient is φ = 53641301760.

The previous prime is 212330221177. The next prime is 212330221249. The reversal of 212330221200 is 2122033212.

212330221200 is a `hidden beast` number, since 212 + 3 + 30 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1483722 + ... + 1620521.

It is an arithmetic number, because the mean of its divisors is an integer number (4309035588).

Almost surely, 2212330221200 is an apocalyptic number.

212330221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212330221200 is an abundant number, since it is smaller than the sum of its proper divisors (563296184640).

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

212330221200 is a wasteful number, since it uses less digits than its factorization.

212330221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104286 (or 3104272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212330221200 its reverse (2122033212), we get a palindrome (214452254412).

The spelling of 212330221200 in words is "two hundred twelve billion, three hundred thirty million, two hundred twenty-one thousand, two hundred".