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220411044 = 22347157619
BaseRepresentation
bin11010010001100…
…11010010100100
3120100202001010000
431020303102210
5422411123134
633512101300
75314314540
oct1510632244
9510661100
10220411044
11103464097
1261994830
1336882849
14213b6a20
151453be99
hexd2334a4

220411044 has 120 divisors (see below), whose sum is σ = 663776960. Its totient is φ = 62472384.

The previous prime is 220411043. The next prime is 220411057. The reversal of 220411044 is 440114022.

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

It is not an unprimeable number, because it can be changed into a prime (220411043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355767 + ... + 356385.

Almost surely, 2220411044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220411044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331888480).

220411044 is an abundant number, since it is smaller than the sum of its proper divisors (443365916).

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

220411044 is a wasteful number, since it uses less digits than its factorization.

220411044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

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

The square root of 220411044 is about 14846.2467984336. The cubic root of 220411044 is about 604.0568086854.

Adding to 220411044 its reverse (440114022), we get a palindrome (660525066).

The spelling of 220411044 in words is "two hundred twenty million, four hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 157 162 189 252 314 324 378 471 567 619 628 756 942 1099 1134 1238 1413 1857 1884 2198 2268 2476 2826 3297 3714 4239 4333 4396 5571 5652 6594 7428 8478 8666 9891 11142 12717 12999 13188 16713 16956 17332 19782 22284 25434 25998 29673 33426 38997 39564 50139 50868 51996 59346 66852 77994 89019 97183 100278 116991 118692 155988 178038 194366 200556 233982 291549 350973 356076 388732 467964 583098 680281 701946 874647 1166196 1360562 1403892 1749294 2040843 2623941 2721124 3498588 4081686 5247882 6122529 7871823 8163372 10495764 12245058 15743646 18367587 24490116 31487292 36735174 55102761 73470348 110205522 220411044