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22002323031232 = 2641173228721193
BaseRepresentation
bin1010000000010110100001…
…01001100000010011000000
32212220101211201111120101121
411000023100221200103000
510340441224143444412
6114443421101442024
74430421034663525
oct500132051402300
985811751446347
1022002323031232
11701315082a645
122574245570314
13c37a6bbc52ab
14560cbd45314c
152824e6c84107
hex1402d0a604c0

22002323031232 has 112 divisors (see below), whose sum is σ = 45006082273152. Its totient is φ = 10665631825920.

The previous prime is 22002323031203. The next prime is 22002323031259. The reversal of 22002323031232 is 23213032320022.

It is a junction number, because it is equal to n+sod(n) for n = 22002323031197 and 22002323031206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038177628 + ... + 1038198820.

It is an arithmetic number, because the mean of its divisors is an integer number (401840020296).

Almost surely, 222002323031232 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 22002323031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22503041136576).

22002323031232 is an abundant number, since it is smaller than the sum of its proper divisors (23003759241920).

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

22002323031232 is a wasteful number, since it uses less digits than its factorization.

22002323031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23706 (or 23696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 22002323031232 its reverse (23213032320022), we get a palindrome (45215355351254).

The spelling of 22002323031232 in words is "twenty-two trillion, two billion, three hundred twenty-three million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 173 328 346 656 692 1312 1384 2287 2624 2768 4574 5536 7093 9148 11072 14186 18296 21193 28372 36592 42386 56744 73184 84772 93767 113488 146368 169544 187534 226976 339088 375068 395651 453952 678176 750136 791302 868913 1356352 1500272 1582604 1737826 3000544 3165208 3475652 3666389 6001088 6330416 6951304 7332778 12660832 13902608 14665556 16221691 25321664 27805216 29331112 32443382 48468391 55610432 58662224 64886764 96936782 117324448 129773528 150321949 193873564 234648896 259547056 300643898 387747128 519094112 601287796 775494256 1038188224 1202575592 1550988512 1987204031 2405151184 3101977024 3974408062 4810302368 7948816124 8385031643 9620604736 15897632248 16770063286 31795264496 33540126572 63590528992 67080253144 127181057984 134160506288 268321012576 343786297363 536642025152 687572594726 1375145189452 2750290378904 5500580757808 11001161515616 22002323031232