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22021449248 = 253727092
BaseRepresentation
bin10100100000100101…
…001010011000100000
32002211201020112022102
4110200211022120200
5330044442333443
614041100025532
71406466141641
oct244045123040
962751215272
1022021449248
119380596837
124326b322a8
1320cc421c56
1410cc9656c8
1588d468cb8
hex52094a620

22021449248 has 54 divisors (see below), whose sum is σ = 44621081631. Its totient is φ = 10698027264.

The previous prime is 22021449227. The next prime is 22021449253. The reversal of 22021449248 is 84294412022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 11970985744 + 10050463504 = 109412^2 + 100252^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=104932.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31059518 + ... + 31060226.

Almost surely, 222021449248 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 22021449248

22021449248 is an abundant number, since it is smaller than the sum of its proper divisors (22599632383).

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

22021449248 is an frugal number, since it uses more digits than its factorization.

22021449248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 22021449248 in words is "twenty-two billion, twenty-one million, four hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 709 1184 1369 1418 2738 2836 5476 5672 10952 11344 21904 22688 26233 43808 52466 104932 209864 419728 502681 839456 970621 1005362 1941242 2010724 3882484 4021448 7764968 8042896 15529936 16085792 18599197 31059872 37198394 74396788 148793576 297587152 595174304 688170289 1376340578 2752681156 5505362312 11010724624 22021449248