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224545048 = 237213139317
BaseRepresentation
bin11010110001001…
…00100100011000
3120122112001220021
431120210210120
5424440420143
634140440224
75364413200
oct1530444430
9518461807
10224545048
11105828022
1263249074
133769c3c0
1421b71400
1514aa6ced
hexd624918

224545048 has 96 divisors (see below), whose sum is σ = 532904400. Its totient is φ = 87913728.

The previous prime is 224545037. The next prime is 224545103. The reversal of 224545048 is 840545422.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 708186 + ... + 708502.

Almost surely, 2224545048 is an apocalyptic number.

224545048 is a gapful number since it is divisible by the number (28) 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 224545048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266452200).

224545048 is an abundant number, since it is smaller than the sum of its proper divisors (308359352).

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

224545048 is a wasteful number, since it uses less digits than its factorization.

224545048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 224545048 is about 14984.8272595983. The cubic root of 224545048 is about 607.8099807276.

The spelling of 224545048 in words is "two hundred twenty-four million, five hundred forty-five thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 139 182 196 278 317 364 392 556 634 637 728 973 1112 1268 1274 1807 1946 2219 2536 2548 3614 3892 4121 4438 5096 6811 7228 7784 8242 8876 12649 13622 14456 15533 16484 17752 25298 27244 28847 31066 32968 44063 50596 54488 57694 62132 88126 88543 101192 115388 124264 176252 177086 201929 230776 308441 352504 354172 403858 572819 616882 708344 807716 1145638 1233764 1615432 2159087 2291276 2467528 4009733 4318174 4582552 8019466 8636348 16038932 17272696 28068131 32077864 56136262 112272524 224545048