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20220220001205 = 3257237733395101
BaseRepresentation
bin1001001100011111000110…
…00001111100101110110101
32122121000220220020200022200
410212033203001330232311
510122242002310014310
6111001012453015113
74154601621112500
oct446174301745665
978530826220280
1020220220001205
116496390061434
122326992924499
13b389b2748963
144dc941932137
15250e935319c0
hex1263e307cbb5

20220220001205 has 144 divisors (see below), whose sum is σ = 42446081259504. Its totient is φ = 8870499993600.

The previous prime is 20220220001147. The next prime is 20220220001249. The reversal of 20220220001205 is 50210002202202.

20220220001205 is a `hidden beast` number, since 20 + 220 + 220 + 0 + 0 + 1 + 205 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1011792562641 + 19208427438564 = 1005879^2 + 4382742^2 .

It is not a de Polignac number, because 20220220001205 - 213 = 20220219993013 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4258155 + ... + 7653255.

It is an arithmetic number, because the mean of its divisors is an integer number (294764453191).

Almost surely, 220220220001205 is an apocalyptic number.

It is an amenable number.

20220220001205 is an abundant number, since it is smaller than the sum of its proper divisors (22225861258299).

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

20220220001205 is a wasteful number, since it uses less digits than its factorization.

20220220001205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395236 (or 3395226 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 20220220001205 its reverse (50210002202202), we get a palindrome (70430222203407).

The spelling of 20220220001205 in words is "twenty trillion, two hundred twenty billion, two hundred twenty million, one thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 73 105 111 147 185 219 245 259 315 333 365 441 511 555 657 735 777 1095 1295 1533 1665 1813 2205 2331 2555 2701 3285 3577 3885 4599 5439 7665 8103 9065 10731 11655 13505 16317 17885 18907 22995 24309 27195 32193 40515 53655 56721 81585 94535 121545 132349 160965 170163 283605 397047 661745 850815 1191141 1985235 3395101 5955705 10185303 16975505 23765707 30555909 50926515 71297121 118828535 125618737 152779545 166359949 213891363 247842373 356485605 376856211 499079847 628093685 743527119 831799745 879331159 1069456815 1130568633 1239211865 1497239541 1734896611 1884281055 2230581357 2495399235 2637993477 3717635595 4396655795 5204689833 5652843165 6155318113 7486197705 7913980431 8674483055 9170167801 11152906785 12144276277 13189967385 15614069499 18465954339 26023449165 27510503403 30776590565 36432828831 39569902155 45850839005 55397863017 60721381385 64191174607 78070347495 82531510209 92329771695 109298486493 137552517015 182164144155 192573523821 276989315085 320955873035 412657551045 449338222249 546492432465 577720571463 962867619105 1348014666747 2246691111245 2888602857315 4044044000241 6740073333735 20220220001205