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224203540 = 225112359751
BaseRepresentation
bin11010101110100…
…01001100010100
3120121212201102211
431113101030110
5424344003130
634125243204
75361461431
oct1527211424
9517781384
10224203540
11105614490
1263103504
13375acb22
1421ac2b88
1514a3aa2a
hexd5d1314

224203540 has 96 divisors (see below), whose sum is σ = 545771520. Its totient is φ = 76560000.

The previous prime is 224203451. The next prime is 224203541. The reversal of 224203540 is 45302422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224203541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298165 + ... + 298915.

It is an arithmetic number, because the mean of its divisors is an integer number (5685120).

Almost surely, 2224203540 is an apocalyptic number.

224203540 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 224203540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272885760).

224203540 is an abundant number, since it is smaller than the sum of its proper divisors (321567980).

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

224203540 is a wasteful number, since it uses less digits than its factorization.

224203540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 224203540 is about 14973.4277972681. The cubic root of 224203540 is about 607.5016872946.

Adding to 224203540 its reverse (45302422), we get a palindrome (269505962).

The spelling of 224203540 in words is "two hundred twenty-four million, two hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 59 92 110 115 118 220 230 236 253 295 460 506 590 649 751 1012 1180 1265 1298 1357 1502 2530 2596 2714 3004 3245 3755 5060 5428 6490 6785 7510 8261 12980 13570 14927 15020 16522 17273 27140 29854 33044 34546 41305 44309 59708 69092 74635 82610 86365 88618 149270 165220 172730 177236 190003 221545 298540 345460 380006 443090 487399 760012 886180 950015 974798 1019107 1900030 1949596 2038214 2436995 3800060 4076428 4873990 5095535 9747980 10191070 11210177 20382140 22420354 44840708 56050885 112101770 224203540