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224093940 = 22357737309
BaseRepresentation
bin11010101101101…
…10011011110100
3120121200011002120
431112312123310
5424332001230
634123035540
75360524050
oct1526663364
9517604076
10224093940
1110554a104
126306bbb0
1337571c85
1421a94c60
1514a18310
hexd5b66f4

224093940 has 96 divisors (see below), whose sum is σ = 727023360. Its totient is φ = 50512896.

The previous prime is 224093927. The next prime is 224094019. The reversal of 224093940 is 49390422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27006 + ... + 34314.

It is an arithmetic number, because the mean of its divisors is an integer number (7573160).

Almost surely, 2224093940 is an apocalyptic number.

224093940 is a gapful number since it is divisible by the number (20) 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 224093940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363511680).

224093940 is an abundant number, since it is smaller than the sum of its proper divisors (502929420).

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

224093940 is a wasteful number, since it uses less digits than its factorization.

224093940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 224093940 is about 14969.7675332652. The cubic root of 224093940 is about 607.4026804765.

The spelling of 224093940 in words is "two hundred twenty-four million, ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 365 420 438 511 730 876 1022 1095 1460 1533 2044 2190 2555 3066 4380 5110 6132 7309 7665 10220 14618 15330 21927 29236 30660 36545 43854 51163 73090 87708 102326 109635 146180 153489 204652 219270 255815 306978 438540 511630 533557 613956 767445 1023260 1067114 1534890 1600671 2134228 2667785 3069780 3201342 3734899 5335570 6402684 7469798 8003355 10671140 11204697 14939596 16006710 18674495 22409394 32013420 37348990 44818788 56023485 74697980 112046970 224093940