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22011223312 = 24131795691039
BaseRepresentation
bin10100011111111110…
…001001110100010000
32002210222222222222001
4110133332021310100
5330034333121222
614040052523344
71406313211501
oct243776116420
962728888861
1022011223312
119375841951
124323620554
1320ca2815c0
1410cb462ba8
1588c5e8e27
hex51ff89d10

22011223312 has 80 divisors (see below), whose sum is σ = 46309536000. Its totient is φ = 10074811392.

The previous prime is 22011223301. The next prime is 22011223349. The reversal of 22011223312 is 21332211022.

It is a super-3 number, since 3×220112233123 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22011223312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21184489 + ... + 21185527.

It is an arithmetic number, because the mean of its divisors is an integer number (578869200).

Almost surely, 222011223312 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 22011223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768000).

22011223312 is an abundant number, since it is smaller than the sum of its proper divisors (24298312688).

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

22011223312 is a wasteful number, since it uses less digits than its factorization.

22011223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22011223312 its reverse (21332211022), we get a palindrome (43343434334).

The spelling of 22011223312 in words is "twenty-two billion, eleven million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 358 569 716 1039 1138 1432 2078 2276 2327 2864 4156 4552 4654 7397 8312 9104 9308 13507 14794 16624 18616 27014 29588 37232 54028 59176 101851 108056 118352 185981 203702 216112 371962 407404 591191 743924 814808 1182382 1324063 1487848 1629616 2364764 2417753 2648126 2975696 4729528 4835506 5296252 7685483 9459056 9671012 10592504 15370966 19342024 21185008 30741932 38684048 61483864 105823189 122967728 211646378 423292756 846585512 1375701457 1693171024 2751402914 5502805828 11005611656 22011223312