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224900130 = 23571326337
BaseRepresentation
bin11010110011110…
…11010000100010
3120200012002222110
431121323100202
5430033301010
634152220150
75400422340
oct1531732042
9520162873
10224900130
11105a4a884
126339a656
1337794c00
1421c24990
1514b27120
hexd67b422

224900130 has 96 divisors (see below), whose sum is σ = 668075904. Its totient is φ = 47443968.

The previous prime is 224900113. The next prime is 224900149. The reversal of 224900130 is 31009422.

224900130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224900097 and 224900106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32322 + ... + 38658.

It is an arithmetic number, because the mean of its divisors is an integer number (6959124).

Almost surely, 2224900130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224900130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334037952).

224900130 is an abundant number, since it is smaller than the sum of its proper divisors (443175774).

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

224900130 is a wasteful number, since it uses less digits than its factorization.

224900130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 224900130 is about 14996.6706305100. The cubic root of 224900130 is about 608.1301966821.

Adding to 224900130 its reverse (31009422), we get a palindrome (255909552).

The spelling of 224900130 in words is "two hundred twenty-four million, nine hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 5070 5915 6337 7098 11830 12674 17745 19011 31685 35490 38022 44359 63370 82381 88718 95055 133077 164762 190110 221795 247143 266154 411905 443590 494286 576667 665385 823810 1070953 1153334 1235715 1330770 1730001 2141906 2471430 2883335 3212859 3460002 5354765 5766670 6425718 7496671 8650005 10709530 14993342 16064295 17300010 22490013 32128590 37483355 44980026 74966710 112450065 224900130