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22113230000032 = 2517195473911221
BaseRepresentation
bin1010000011100101000110…
…01110000000111110100000
32220022000010000112100001201
411001302203032000332200
510344300343340000112
6115010402211010544
74441425311446063
oct501624316007640
986260100470051
1022113230000032
117056193931846
122591837b99a54
13c45365288812
14566400c888da
152853387d3257
hex141ca3380fa0

22113230000032 has 96 divisors (see below), whose sum is σ = 48611170198080. Its totient is φ = 9840504360960.

The previous prime is 22113230000021. The next prime is 22113230000041. The reversal of 22113230000032 is 23000003231122.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 22113229999964 and 22113230000009.

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, 3698182 + ... + 7609402.

It is an arithmetic number, because the mean of its divisors is an integer number (506366356230).

Almost surely, 222113230000032 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 22113230000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24305585099040).

22113230000032 is an abundant number, since it is smaller than the sum of its proper divisors (26497940198048).

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

22113230000032 is a wasteful number, since it uses less digits than its factorization.

22113230000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911814 (or 3911806 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22113230000032 its reverse (23000003231122), we get a palindrome (45113233231154).

The spelling of 22113230000032 in words is "twenty-two trillion, one hundred thirteen billion, two hundred thirty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 547 608 646 1094 1292 2188 2584 4376 5168 8752 9299 10336 10393 17504 18598 20786 37196 41572 74392 83144 148784 166288 176681 297568 332576 353362 706724 1413448 2826896 3911221 5653792 7822442 15644884 31289768 62579536 66490757 74313199 125159072 132981514 148626398 265963028 297252796 531926056 594505592 1063852112 1189011184 1263324383 2127704224 2139437887 2378022368 2526648766 4278875774 5053297532 8557751548 10106595064 17115503096 20213190128 34231006192 36370444079 40426380256 40649319853 68462012384 72740888158 81298639706 145481776316 162597279412 290963552632 325194558824 581927105264 650389117648 691038437501 1163854210528 1300778235296 1382076875002 2764153750004 5528307500008 11056615000016 22113230000032