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224740352 = 2104153101
BaseRepresentation
bin11010110010101…
…00010000000000
3120122212222210202
431121110100000
5430013142402
634144544332
75366155454
oct1531242000
9518788722
10224740352
11105950831
12633220a8
133773a275
1421bc2664
1514ae4b02
hexd654400

224740352 has 88 divisors (see below), whose sum is σ = 473544792. Its totient is φ = 106496000.

The previous prime is 224740309. The next prime is 224740361. The reversal of 224740352 is 253047422.

It can be written as a sum of positive squares in 4 ways, for example, as 55115776 + 169624576 = 7424^2 + 13024^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2225102 + ... + 2225202.

Almost surely, 2224740352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236772396).

224740352 is an abundant number, since it is smaller than the sum of its proper divisors (248804440).

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

224740352 is a wasteful number, since it uses less digits than its factorization.

224740352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 224740352 is about 14991.3425682959. The cubic root of 224740352 is about 607.9861492690.

Adding to 224740352 its reverse (253047422), we get a palindrome (477787774).

The spelling of 224740352 in words is "two hundred twenty-four million, seven hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 53 64 82 101 106 128 164 202 212 256 328 404 424 512 656 808 848 1024 1312 1616 1696 2173 2624 3232 3392 4141 4346 5248 5353 6464 6784 8282 8692 10496 10706 12928 13568 16564 17384 20992 21412 25856 27136 33128 34768 41984 42824 51712 54272 66256 69536 85648 103424 132512 139072 171296 219473 265024 278144 342592 438946 530048 556288 685184 877892 1060096 1112576 1370368 1755784 2120192 2225152 2740736 3511568 4240384 5481472 7023136 14046272 28092544 56185088 112370176 224740352