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22133210220 = 223251153210913
BaseRepresentation
bin10100100111001111…
…011111110001101100
32010010111112120112200
4110213033133301230
5330312100211340
614100131301500
71412324116452
oct244717376154
963114476480
1022133210220
119428690480
12435844a890
1321196229c4
1410dd7389d2
15898193330
hex5273dfc6c

22133210220 has 144 divisors (see below), whose sum is σ = 74623060512. Its totient is φ = 5264363520.

The previous prime is 22133210191. The next prime is 22133210233. The reversal of 22133210220 is 2201233122.

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 = 22133210193 and 22133210202.

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, 517 + ... + 210396.

It is an arithmetic number, because the mean of its divisors is an integer number (518215698).

Almost surely, 222133210220 is an apocalyptic number.

22133210220 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 22133210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37311530256).

22133210220 is an abundant number, since it is smaller than the sum of its proper divisors (52489850292).

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

22133210220 is a wasteful number, since it uses less digits than its factorization.

22133210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210992 (or 210987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22133210220 its reverse (2201233122), we get a palindrome (24334443342).

The spelling of 22133210220 in words is "twenty-two billion, one hundred thirty-three million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1166 1590 1749 1908 1980 2332 2385 2915 3180 3498 4770 5247 5830 6996 8745 9540 10494 11660 17490 20988 26235 34980 52470 104940 210913 421826 632739 843652 1054565 1265478 1898217 2109130 2320043 2530956 3163695 3796434 4218260 4640086 6327390 6960129 7592868 9280172 9491085 11178389 11600215 12654780 13920258 18982170 20880387 22356778 23200430 27840516 33535167 34800645 37964340 41760774 44713556 46400860 55891945 67070334 69601290 83521548 100605501 104401935 111783890 122962279 134140668 139202580 167675835 201211002 208803870 223567780 245924558 335351670 368886837 402422004 417607740 491849116 503027505 614811395 670703340 737773674 1006055010 1106660511 1229622790 1475547348 1844434185 2012110020 2213321022 2459245580 3688868370 4426642044 5533302555 7377736740 11066605110 22133210220