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22132221020 = 22572139911753
BaseRepresentation
bin10100100111001011…
…101110010001011100
32010010102200022121122
4110213023232101130
5330311322033040
614100054150112
71412312526500
oct244713562134
963112608548
1022132221020
119428075258
124358052338
132119367690
1410dd55c300
1589804a1b5
hex5272ee45c

22132221020 has 144 divisors (see below), whose sum is σ = 58316767488. Its totient is φ = 6993423360.

The previous prime is 22132220987. The next prime is 22132221053. The reversal of 22132221020 is 2012223122.

It is an interprime number because it is at equal distance from previous prime (22132220987) and next prime (22132221053).

It is a self number, because there is not a number n which added to its sum of digits gives 22132221020.

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, 12624464 + ... + 12626216.

It is an arithmetic number, because the mean of its divisors is an integer number (404977552).

Almost surely, 222132221020 is an apocalyptic number.

22132221020 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 22132221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29158383744).

22132221020 is an abundant number, since it is smaller than the sum of its proper divisors (36184546468).

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

22132221020 is a wasteful number, since it uses less digits than its factorization.

22132221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22132221020 its reverse (2012223122), we get a palindrome (24144444142).

The spelling of 22132221020 in words is "twenty-two billion, one hundred thirty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 991 1274 1753 1820 1982 2548 3185 3506 3964 4955 6370 6937 7012 8765 9910 12271 12740 12883 13874 17530 19820 22789 24542 25766 27748 34685 35060 45578 48559 49084 51532 61355 64415 69370 85897 90181 91156 97118 113945 122710 128830 138740 159523 171794 180362 194236 227890 242795 245420 257660 319046 343588 360724 429485 450905 455780 485590 631267 638092 797615 858970 901810 971180 1116661 1262534 1595230 1717940 1737223 1803620 2233322 2525068 3156335 3190460 3474446 4466644 5583305 6312670 6948892 8686115 11166610 12160561 12625340 17372230 22333220 22583899 24321122 34744460 45167798 48642244 60802805 85123927 90335596 112919495 121605610 158087293 170247854 225838990 243211220 316174586 340495708 425619635 451677980 632349172 790436465 851239270 1106611051 1580872930 1702478540 2213222102 3161745860 4426444204 5533055255 11066110510 22132221020