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220021323012 = 223241313476249
BaseRepresentation
bin1100110011101001001…
…0101111010100000100
3210000220122221021102100
43030322102233110010
512101100424314022
6245024300312100
721616222250061
oct3147222572404
9700818837370
10220021323012
1185346334547
1236784842630
131799525147a
14a913157c68
155acb0031ac
hex333a4af504

220021323012 has 72 divisors (see below), whose sum is σ = 571551435000. Its totient is φ = 71322900480.

The previous prime is 220021322999. The next prime is 220021323019. The reversal of 220021323012 is 210323120022.

220021323012 is a `hidden beast` number, since 220 + 0 + 213 + 230 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26048023236 + 193973299776 = 161394^2 + 440424^2 .

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

It is not an unprimeable number, because it can be changed into a prime (220021323019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223864 + ... + 700112.

It is an arithmetic number, because the mean of its divisors is an integer number (7938214375).

Almost surely, 2220021323012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220021323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285775717500).

220021323012 is an abundant number, since it is smaller than the sum of its proper divisors (351530111988).

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

220021323012 is a wasteful number, since it uses less digits than its factorization.

220021323012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476613 (or 476608 counting only the distinct ones).

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

Adding to 220021323012 its reverse (210323120022), we get a palindrome (430344443034).

The spelling of 220021323012 in words is "two hundred twenty billion, twenty-one million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 313 369 492 626 738 939 1252 1476 1878 2817 3756 5634 11268 12833 25666 38499 51332 76998 115497 153996 230994 461988 476249 952498 1428747 1904996 2857494 4286241 5714988 8572482 17144964 19526209 39052418 58578627 78104836 117157254 149065937 175735881 234314508 298131874 351471762 447197811 596263748 702943524 894395622 1341593433 1788791244 2683186866 5366373732 6111703417 12223406834 18335110251 24446813668 36670220502 55005330753 73340441004 110010661506 220021323012