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224445330 = 2345377489
BaseRepresentation
bin11010110000011…
…00001110010010
3120122100000010000
431120030032102
5424424222310
634134350430
75363516364
oct1530141622
9518300100
10224445330
1110576a10a
12631bb416
1337665bb5
1421b46d34
1514a874c0
hexd60c392

224445330 has 80 divisors (see below), whose sum is σ = 619902360. Its totient is φ = 58226688.

The previous prime is 224445329. The next prime is 224445341. The reversal of 224445330 is 33544422.

It can be written as a sum of positive squares in 4 ways, for example, as 212314041 + 12131289 = 14571^2 + 3483^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224445294 and 224445303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26226 + ... + 33714.

Almost surely, 2224445330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224445330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309951180).

224445330 is an abundant number, since it is smaller than the sum of its proper divisors (395457030).

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

224445330 is a wasteful number, since it uses less digits than its factorization.

224445330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545 (or 7536 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 224445330 is about 14981.4995911624. The cubic root of 224445330 is about 607.7199934839.

Adding to 224445330 its reverse (33544422), we get a palindrome (257989752).

It can be divided in two parts, 2244 and 45330, that added together give a palindrome (47574).

The spelling of 224445330 in words is "two hundred twenty-four million, four hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3330 4995 5994 7489 9990 14978 14985 22467 29970 37445 44934 67401 74890 112335 134802 202203 224670 277093 337005 404406 554186 606609 674010 831279 1011015 1213218 1385465 1662558 2022030 2493837 2770930 3033045 4156395 4987674 6066090 7481511 8312790 12469185 14963022 22444533 24938370 37407555 44889066 74815110 112222665 224445330