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21822200484 = 223717151101203
BaseRepresentation
bin10100010100101101…
…000101101010100100
32002022211022122101120
4110110231011222210
5324142440403414
614005221253540
71401526433520
oct242455055244
962284278346
1021822200484
119289077237
1242902642b0
13209a06b886
1410b02dad80
1587ac0c2a9
hex514b45aa4

21822200484 has 96 divisors (see below), whose sum is σ = 62024288256. Its totient is φ = 5829235200.

The previous prime is 21822200479. The next prime is 21822200509. The reversal of 21822200484 is 48400222812.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165027 + ... + 266229.

It is an arithmetic number, because the mean of its divisors is an integer number (646086336).

Almost surely, 221822200484 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 21822200484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31012144128).

21822200484 is an abundant number, since it is smaller than the sum of its proper divisors (40202087772).

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

21822200484 is a wasteful number, since it uses less digits than its factorization.

21822200484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101385 (or 101383 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 21822200484 in words is "twenty-one billion, eight hundred twenty-two million, two hundred thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 151 204 238 302 357 453 476 604 714 906 1057 1428 1812 2114 2567 3171 4228 5134 6342 7701 10268 12684 15402 17969 30804 35938 53907 71876 101203 107814 202406 215628 303609 404812 607218 708421 1214436 1416842 1720451 2125263 2833684 3440902 4250526 5161353 6881804 8501052 10322706 12043157 15281653 20645412 24086314 30563306 36129471 45844959 48172628 61126612 72258942 91689918 106971571 144517884 183379836 213943142 259788101 320914713 427886284 519576202 641829426 779364303 1039152404 1283658852 1558728606 1818516707 3117457212 3637033414 5455550121 7274066828 10911100242 21822200484