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22006063100 = 225271717910331
BaseRepresentation
bin10100011111101010…
…011101111111111100
32002210122021211111002
4110133222131333330
5330032023004400
614035350145432
71406221310240
oct243752357774
962718254432
1022006063100
119372937a0a
124321952278
1320c9195918
1410ca8bc420
1588be29ed5
hex51fa9dffc

22006063100 has 144 divisors (see below), whose sum is σ = 58113780480. Its totient is φ = 7060761600.

The previous prime is 22006063039. The next prime is 22006063133. The reversal of 22006063100 is 136060022.

It is a super-2 number, since 2×220060631002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2124935 + ... + 2135265.

It is an arithmetic number, because the mean of its divisors is an integer number (403567920).

Almost surely, 222006063100 is an apocalyptic number.

22006063100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22006063100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29056890240).

22006063100 is an abundant number, since it is smaller than the sum of its proper divisors (36107717380).

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

22006063100 is a wasteful number, since it uses less digits than its factorization.

22006063100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The spelling of 22006063100 in words is "twenty-two billion, six million, sixty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 179 238 340 350 358 425 476 595 700 716 850 895 1190 1253 1700 1790 2380 2506 2975 3043 3580 4475 5012 5950 6086 6265 8950 10331 11900 12172 12530 15215 17900 20662 21301 25060 30430 31325 41324 42602 51655 60860 62650 72317 76075 85204 103310 106505 125300 144634 152150 175627 206620 213010 258275 289268 304300 351254 361585 426020 516550 532525 702508 723170 878135 1033100 1065050 1229389 1446340 1756270 1807925 1849249 2130100 2458778 3512540 3615850 3698498 4390675 4917556 6146945 7231700 7396996 8781350 9246245 12293890 12944743 17562700 18492490 24587780 25889486 30734725 31437233 36984980 46231225 51778972 61469450 62874466 64723715 92462450 122938900 125748932 129447430 157186165 184924900 220060631 258894860 314372330 323618575 440121262 628744660 647237150 785930825 880242524 1100303155 1294474300 1571861650 2200606310 3143723300 4401212620 5501515775 11003031550 22006063100