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224520340 = 225112192257
BaseRepresentation
bin11010110000111…
…10100010010100
3120122110211000011
431120132202110
5424434122330
634140130004
75364251152
oct1530364224
9518424004
10224520340
11105810500
1263236904
1337691095
1421b663d2
1514a9e82a
hexd61e894

224520340 has 108 divisors (see below), whose sum is σ = 549092628. Its totient is φ = 77045760.

The previous prime is 224520313. The next prime is 224520341. The reversal of 224520340 is 43025422.

It can be written as a sum of positive squares in 2 ways, for example, as 167909764 + 56610576 = 12958^2 + 7524^2 .

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 (224520341) 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 35 ways as a sum of consecutive naturals, for example, 873492 + ... + 873748.

It is an arithmetic number, because the mean of its divisors is an integer number (5084191).

Almost surely, 2224520340 is an apocalyptic number.

224520340 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 224520340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274546314).

224520340 is an abundant number, since it is smaller than the sum of its proper divisors (324572288).

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

224520340 is a wasteful number, since it uses less digits than its factorization.

224520340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 294 counting only the distinct ones).

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

The square root of 224520340 is about 14984.0028029896. The cubic root of 224520340 is about 607.7876862853.

Adding to 224520340 its reverse (43025422), we get a palindrome (267545762).

The spelling of 224520340 in words is "two hundred twenty-four million, five hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 257 361 380 418 484 514 605 722 836 1028 1045 1210 1285 1444 1805 2090 2299 2420 2570 2827 3610 3971 4180 4598 4883 5140 5654 7220 7942 9196 9766 11308 11495 14135 15884 19532 19855 22990 24415 28270 31097 39710 43681 45980 48830 53713 56540 62194 79420 87362 92777 97660 107426 124388 155485 174724 185554 214852 218405 268565 310970 371108 436810 463885 537130 590843 621940 873620 927770 1020547 1074260 1181686 1855540 2041094 2363372 2954215 4082188 5102735 5908430 10205470 11226017 11816860 20410940 22452034 44904068 56130085 112260170 224520340