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21822971076 = 22342922832
BaseRepresentation
bin10100010100110000…
…000001110011000100
32002022212202210110000
4110110300001303010
5324143140033301
614005250001300
71401536123244
oct242460016304
962285683400
1021822971076
119289553195
124290576230
13209a27b54a
1410b045bb24
1587ad10786
hex514c01cc4

21822971076 has 135 divisors (see below), whose sum is σ = 59294135901. Its totient is φ = 6998666976.

The previous prime is 21822971041. The next prime is 21822971087. The reversal of 21822971076 is 67017922812.

It is a happy number.

The square root of 21822971076 is 147726.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11443436676 + 10379534400 = 106974^2 + 101880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 77112831 + ... + 77113113.

Almost surely, 221822971076 is an apocalyptic number.

21822971076 is the 147726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21822971076

21822971076 is an abundant number, since it is smaller than the sum of its proper divisors (37471164825).

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

21822971076 is an equidigital number, since it uses as much as digits as its factorization.

21822971076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 21822971076 in words is "twenty-one billion, eight hundred twenty-two million, nine hundred seventy-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 283 324 348 522 566 783 841 849 1044 1132 1566 1682 1698 2349 2523 2547 3132 3364 3396 4698 5046 5094 7569 7641 8207 9396 10092 10188 15138 15282 16414 22707 22923 24621 30276 30564 32828 45414 45846 49242 68121 73863 80089 90828 91692 98484 136242 147726 160178 221589 238003 240267 272484 295452 320356 443178 476006 480534 664767 714009 720801 886356 952012 961068 1329534 1428018 1441602 2142027 2162403 2322581 2659068 2856036 2883204 4284054 4324806 4645162 6426081 6487209 6967743 8568108 8649612 9290324 12852162 12974418 13935486 19278243 20903229 25704324 25948836 27870972 38556486 41806458 62709687 67354849 77112972 83612916 125419374 134709698 188129061 202064547 250838748 269419396 376258122 404129094 606193641 752516244 808258188 1212387282 1818580923 2424774564 3637161846 5455742769 7274323692 10911485538 21822971076