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220462990912 = 266173377041
BaseRepresentation
bin1100110101010010011…
…1100100011001000000
3210002001110000022212201
43031110213210121000
512103002011202122
6245140155002544
721633164334433
oct3152447443100
9702043008781
10220462990912
118555267a13a
1236888739454
1317a358c1818
14a955a8781a
155b04b97a27
hex33549e4640

220462990912 has 56 divisors (see below), whose sum is σ = 445265471672. Its totient is φ = 108275097600.

The previous prime is 220462990889. The next prime is 220462990919. The reversal of 220462990912 is 219099264022.

It can be written as a sum of positive squares in 4 ways, for example, as 67068568576 + 153394422336 = 258976^2 + 391656^2 .

It is not an unprimeable number, because it can be changed into a prime (220462990919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2823112 + ... + 2900152.

It is an arithmetic number, because the mean of its divisors is an integer number (7951169137).

Almost surely, 2220462990912 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 220462990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222632735836).

220462990912 is an abundant number, since it is smaller than the sum of its proper divisors (224802480760).

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

220462990912 is an equidigital number, since it uses as much as digits as its factorization.

220462990912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77847 (or 77837 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 220462990912 in words is "two hundred twenty billion, four hundred sixty-two million, nine hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 733 976 1466 1952 2932 3904 5864 11728 23456 44713 46912 77041 89426 154082 178852 308164 357704 616328 715408 1232656 1430816 2465312 2861632 4699501 4930624 9399002 18798004 37596008 56471053 75192016 112942106 150384032 225884212 300768064 451768424 903536848 1807073696 3444734233 3614147392 6889468466 13778936932 27557873864 55115747728 110231495456 220462990912