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224034520 = 23531792287
BaseRepresentation
bin11010101101001…
…11111011011000
3120121120010120211
431112213323120
5424323101040
634121500504
75360155603
oct1526477330
9517503524
10224034520
111055094a6
1263041734
1337550c08
1421a7b33a
1514a058ea
hexd5a7ed8

224034520 has 64 divisors (see below), whose sum is σ = 527155200. Its totient is φ = 85587840.

The previous prime is 224034511. The next prime is 224034521. The reversal of 224034520 is 25430422.

It is a junction number, because it is equal to n+sod(n) for n = 224034491 and 224034500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224034521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96817 + ... + 99103.

It is an arithmetic number, because the mean of its divisors is an integer number (8236800).

Almost surely, 2224034520 is an apocalyptic number.

224034520 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 224034520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263577600).

224034520 is an abundant number, since it is smaller than the sum of its proper divisors (303120680).

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

224034520 is a wasteful number, since it uses less digits than its factorization.

224034520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2404 counting only the distinct ones).

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

The square root of 224034520 is about 14967.7827349277. The cubic root of 224034520 is about 607.3489901094.

Adding to 224034520 its reverse (25430422), we get a palindrome (249464942).

The spelling of 224034520 in words is "two hundred twenty-four million, thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 248 310 316 395 620 632 790 1240 1580 2287 2449 3160 4574 4898 9148 9796 11435 12245 18296 19592 22870 24490 45740 48980 70897 91480 97960 141794 180673 283588 354485 361346 567176 708970 722692 903365 1417940 1445384 1806730 2835880 3613460 5600863 7226920 11201726 22403452 28004315 44806904 56008630 112017260 224034520