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220786000000 = 27561011093
BaseRepresentation
bin1100110110011111011…
…1110000000010000000
3210002212221210220001021
43031213313300002000
512104132204000000
6245232214115224
721644166015046
oct3154767600200
9702787726037
10220786000000
11856a8a396a5
123695894bb14
1317a877b7567
14a98692a396
155b231ee11a
hex3367df0080

220786000000 has 224 divisors, whose sum is σ = 555753433140. Its totient is φ = 87360000000.

The previous prime is 220785999901. The next prime is 220786000021. The reversal of 220786000000 is 687022.

It can be written as a sum of positive squares in 14 ways, for example, as 67504353856 + 153281646144 = 259816^2 + 391512^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 201999454 + ... + 202000546.

Almost surely, 2220786000000 is an apocalyptic number.

220786000000 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 220786000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277876716570).

220786000000 is an abundant number, since it is smaller than the sum of its proper divisors (334967433140).

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

220786000000 is an frugal number, since it uses more digits than its factorization.

220786000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 220786000000 its reverse (687022), we get a palindrome (220786687022).

The spelling of 220786000000 in words is "two hundred twenty billion, seven hundred eighty-six million", and thus it is an aban number.