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22164310336 = 267210136977
BaseRepresentation
bin10100101001000110…
…001000100101000000
32010012200001121212211
4110221012020211000
5330343030412321
614103202031504
71413152346400
oct245106104500
963180047784
1022164310336
1194441a2453
124366948594
132122bc163c
141103912800
1589ac880e1
hex529188940

22164310336 has 84 divisors (see below), whose sum is σ = 51220934388. Its totient is φ = 9488252928.

The previous prime is 22164310321. The next prime is 22164310349. The reversal of 22164310336 is 63301346122.

It can be written as a sum of positive squares in 2 ways, for example, as 1386817600 + 20777492736 = 37240^2 + 144144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22164310298 and 22164310307.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 3173280 + ... + 3180256.

Almost surely, 222164310336 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 22164310336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25610467194).

22164310336 is an abundant number, since it is smaller than the sum of its proper divisors (29056624052).

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

22164310336 is a wasteful number, since it uses less digits than its factorization.

22164310336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 7999 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 22164310336 its reverse (63301346122), we get a palindrome (85465656458).

The spelling of 22164310336 in words is "twenty-two billion, one hundred sixty-four million, three hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1013 1568 2026 3136 4052 6977 7091 8104 13954 14182 16208 27908 28364 32416 48839 49637 55816 56728 64832 97678 99274 111632 113456 195356 198548 223264 226912 341873 390712 397096 446528 453824 683746 781424 794192 1367492 1562848 1588384 2734984 3125696 3176768 5469968 7067701 10939936 14135402 21879872 28270804 49473907 56541608 98947814 113083216 197895628 226166432 346317349 395791256 452332864 692634698 791582512 1385269396 1583165024 2770538792 3166330048 5541077584 11082155168 22164310336