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2240411220 = 22325194491459
BaseRepresentation
bin1000010110001001…
…1111011001010100
312210010201200102100
42011202133121110
514042021124340
61010151442100
7106343116065
oct20542373124
95703650370
102240411220
11a4a721123
12526386330
13299210418
1417379a56c
15d1a50830
hex8589f654

2240411220 has 144 divisors (see below), whose sum is σ = 7174440000. Its totient is φ = 564350976.

The previous prime is 2240411203. The next prime is 2240411227. The reversal of 2240411220 is 221140422.

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 = 2240411193 and 2240411202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240411227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1534851 + ... + 1536309.

It is an arithmetic number, because the mean of its divisors is an integer number (49822500).

Almost surely, 22240411220 is an apocalyptic number.

2240411220 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 2240411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587220000).

2240411220 is an abundant number, since it is smaller than the sum of its proper divisors (4934028780).

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

2240411220 is a wasteful number, since it uses less digits than its factorization.

2240411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240411220 is about 47332.9823695909. The cubic root of 2240411220 is about 1308.5065863125.

Adding to 2240411220 its reverse (221140422), we get a palindrome (2461551642).

The spelling of 2240411220 in words is "two billion, two hundred forty million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 449 570 684 855 898 1140 1347 1459 1710 1796 2245 2694 2918 3420 4041 4377 4490 5388 5836 6735 7295 8082 8531 8754 8980 13131 13470 14590 16164 17062 17508 20205 21885 25593 26262 26940 27721 29180 34124 40410 42655 43770 51186 52524 55442 65655 76779 80820 83163 85310 87540 102372 110884 127965 131310 138605 153558 166326 170620 249489 255930 262620 277210 307116 332652 383895 415815 498978 511860 554420 655091 767790 831630 997956 1247445 1310182 1535580 1663260 1965273 2494890 2620364 3275455 3930546 4989780 5895819 6550910 7861092 9826365 11791638 12446729 13101820 19652730 23583276 24893458 29479095 37340187 39305460 49786916 58958190 62233645 74680374 112020561 117916380 124467290 149360748 186700935 224041122 248934580 373401870 448082244 560102805 746803740 1120205610 2240411220