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224375368 = 23747163523
BaseRepresentation
bin11010101111110…
…11001001001000
3120122012110010211
431113323021020
5424420002433
634133050504
75363105410
oct1527731110
9518173124
10224375368
11105721598
1263186a34
13376400b9
1421b29640
1514a718cd
hexd5fb248

224375368 has 64 divisors (see below), whose sum is σ = 494991360. Its totient is φ = 93358656.

The previous prime is 224375357. The next prime is 224375369. The reversal of 224375368 is 863573422.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 224375368.

It is not an unprimeable number, because it can be changed into a prime (224375369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428755 + ... + 429277.

It is an arithmetic number, because the mean of its divisors is an integer number (7734240).

Almost surely, 2224375368 is an apocalyptic number.

224375368 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 224375368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247495680).

224375368 is an abundant number, since it is smaller than the sum of its proper divisors (270615992).

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

224375368 is a wasteful number, since it uses less digits than its factorization.

224375368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 224375368 is about 14979.1644626795. The cubic root of 224375368 is about 607.6568426569.

The spelling of 224375368 in words is "two hundred twenty-four million, three hundred seventy-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 163 188 326 329 376 523 652 658 1046 1141 1304 1316 2092 2282 2632 3661 4184 4564 7322 7661 9128 14644 15322 24581 29288 30644 49162 53627 61288 85249 98324 107254 170498 172067 196648 214508 340996 344134 429016 596743 681992 688268 1193486 1376536 2386972 4006703 4773944 8013406 16026812 28046921 32053624 56093842 112187684 224375368