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21222300330 = 23257211232827
BaseRepresentation
bin10011110000111100…
…101001101010101010
32000210000111120002100
4103300330221222222
5321430402102310
613425511314230
71350623401500
oct236074515252
960700446070
1021222300330
119000487390
12414337b976
1320029a957a
14105477c670
1584320dec0
hex4f0f29aaa

21222300330 has 432 divisors, whose sum is σ = 73287081504. Its totient is φ = 4212996480.

The previous prime is 21222300313. The next prime is 21222300331. The reversal of 21222300330 is 3300322212.

It is a happy number.

21222300330 is a `hidden beast` number, since 2 + 12 + 22 + 300 + 330 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21222300331) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25661377 + ... + 25662203.

It is an arithmetic number, because the mean of its divisors is an integer number (169646022).

Almost surely, 221222300330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222300330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36643540752).

21222300330 is an abundant number, since it is smaller than the sum of its proper divisors (52064781174).

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

21222300330 is a wasteful number, since it uses less digits than its factorization.

21222300330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21222300330 its reverse (3300322212), we get a palindrome (24522622542).

The spelling of 21222300330 in words is "twenty-one billion, two hundred twenty-two million, three hundred thousand, three hundred thirty".