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224043140 = 225372771093
BaseRepresentation
bin11010101101010…
…10000010000100
3120121120120102002
431112222002010
5424323340030
634122004432
75360222666
oct1526520204
9517516362
10224043140
11105514a22
1263046718
1337554b09
1421a80536
1514a08245
hexd5aa084

224043140 has 48 divisors (see below), whose sum is σ = 485394672. Its totient is φ = 86800896.

The previous prime is 224043139. The next prime is 224043151. The reversal of 224043140 is 41340422.

224043140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20866624 + 203176516 = 4568^2 + 14254^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204434 + ... + 205526.

It is an arithmetic number, because the mean of its divisors is an integer number (10112389).

Almost surely, 2224043140 is an apocalyptic number.

224043140 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 224043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242697336).

224043140 is an abundant number, since it is smaller than the sum of its proper divisors (261351532).

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

224043140 is a wasteful number, since it uses less digits than its factorization.

224043140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 224043140 is about 14968.0706839592. The cubic root of 224043140 is about 607.3567795059.

Adding to 224043140 its reverse (41340422), we get a palindrome (265383562).

The spelling of 224043140 in words is "two hundred twenty-four million, forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 277 370 554 740 1093 1108 1385 2186 2770 4372 5465 5540 10249 10930 20498 21860 40441 40996 51245 80882 102490 161764 202205 204980 302761 404410 605522 808820 1211044 1513805 3027610 6055220 11202157 22404314 44808628 56010785 112021570 224043140