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224194068 = 22347412411
BaseRepresentation
bin11010101110011…
…10111000010100
3120121212020110000
431113032320110
5424343202233
634125131300
75361422010
oct1527167024
9517766400
10224194068
1110560835a
12630b9b30
13375a8717
1421abd540
1514a37d13
hexd5cee14

224194068 has 120 divisors (see below), whose sum is σ = 686435904. Its totient is φ = 62467200.

The previous prime is 224194057. The next prime is 224194097. The reversal of 224194068 is 860491422.

224194068 is a `hidden beast` number, since 2 + 241 + 9 + 406 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 91783 + ... + 94193.

Almost surely, 2224194068 is an apocalyptic number.

224194068 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 224194068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343217952).

224194068 is an abundant number, since it is smaller than the sum of its proper divisors (462241836).

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

224194068 is a wasteful number, since it uses less digits than its factorization.

224194068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 224194068 is about 14973.1115002861. Note that the first 3 decimals coincide. The cubic root of 224194068 is about 607.4931320668.

The spelling of 224194068 in words is "two hundred twenty-four million, one hundred ninety-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1476 1722 2214 2268 2411 2583 3321 3444 4428 4822 5166 6642 7233 7749 9644 10332 13284 14466 15498 16877 21699 23247 28932 30996 33754 43398 46494 50631 65097 67508 86796 92988 98851 101262 130194 151893 195291 197702 202524 260388 296553 303786 390582 395404 455679 593106 607572 691957 781164 889659 911358 1186212 1367037 1383914 1779318 1822716 2075871 2668977 2734074 2767828 3558636 4151742 5337954 5468148 6227613 8006931 8303484 10675908 12455226 16013862 18682839 24910452 32027724 37365678 56048517 74731356 112097034 224194068