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220026353216 = 2659179367887
BaseRepresentation
bin1100110011101010010…
…1111011011001000000
3210000221000101211120012
43030322211323121000
512101103221300331
6245025000204052
721616313100305
oct3147245733100
9700830354505
10220026353216
118534915a83a
1236786469628
13179962c2c17
14a913aa70ac
155acb69882b
hex333a97b640

220026353216 has 112 divisors (see below), whose sum is σ = 448216934400. Its totient is φ = 107130413568.

The previous prime is 220026353189. The next prime is 220026353227. The reversal of 220026353216 is 612353620022.

220026353216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2200263532162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248056325 + ... + 248057211.

Almost surely, 2220026353216 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 220026353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224108467200).

220026353216 is an abundant number, since it is smaller than the sum of its proper divisors (228190581184).

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

220026353216 is a wasteful number, since it uses less digits than its factorization.

220026353216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 220026353216 its reverse (612353620022), we get a palindrome (832379973238).

The spelling of 220026353216 in words is "two hundred twenty billion, twenty-six million, three hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 59 64 118 179 236 358 367 472 716 734 887 944 1432 1468 1774 1888 2864 2936 3548 3776 5728 5872 7096 10561 11456 11744 14192 21122 21653 23488 28384 42244 43306 52333 56768 65693 84488 86612 104666 131386 158773 168976 173224 209332 262772 317546 325529 337952 346448 418664 525544 635092 651058 675904 692896 837328 1051088 1270184 1302116 1385792 1674656 2102176 2540368 2604232 3349312 3875887 4204352 5080736 5208464 7751774 9367607 10161472 10416928 15503548 18735214 19206211 20833856 31007096 37470428 38412422 58269691 62014192 74940856 76824844 116539382 124028384 149881712 153649688 233078764 248056768 299763424 307299376 466157528 599526848 614598752 932315056 1229197504 1864630112 3437911769 3729260224 6875823538 13751647076 27503294152 55006588304 110013176608 220026353216