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33022220022 = 23311477271627
BaseRepresentation
bin11110110000010001…
…110001011011110110
310011020101010120212000
4132300101301123312
51020112142020042
623100432440130
72246215144641
oct366021613366
9104211116760
1033022220022
1113006200730
1264970a9046
13316355937c
141853996a58
15cd410b74c
hex7b04716f6

33022220022 has 128 divisors (see below), whose sum is σ = 81919918080. Its totient is φ = 9774341280.

The previous prime is 33022220017. The next prime is 33022220051. The reversal of 33022220022 is 22002222033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33022219977 and 33022220004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20295573 + ... + 20297199.

It is an arithmetic number, because the mean of its divisors is an integer number (639999360).

Almost surely, 233022220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33022220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40959959040).

33022220022 is an abundant number, since it is smaller than the sum of its proper divisors (48897698058).

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

33022220022 is a wasteful number, since it uses less digits than its factorization.

33022220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 33022220022 its reverse (22002222033), we get a palindrome (55024442055).

The spelling of 33022220022 in words is "thirty-three billion, twenty-two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 727 846 1034 1269 1454 1551 1627 2181 2538 3102 3254 4362 4653 4881 6543 7997 9306 9762 13086 13959 14643 15994 17897 19629 23991 27918 29286 34169 35794 39258 43929 47982 53691 68338 71973 76469 87858 102507 107382 143946 152938 161073 205014 215919 229407 307521 322146 375859 431838 458814 483219 615042 688221 751718 841159 922563 966438 1127577 1182829 1376442 1682318 1845126 2064663 2255154 2365658 2523477 3382731 3548487 4129326 5046954 6765462 7096974 7570431 10148193 10645461 13011119 15140862 20296386 21290922 22711293 26022238 31936383 39033357 45422586 55592963 63872766 78066714 111185926 117100071 166778889 234200142 333557778 351300213 500336667 611522593 702600426 1000673334 1223045186 1501010001 1834567779 3002020002 3669135558 5503703337 11007406674 16511110011 33022220022