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224240424 = 23337673769
BaseRepresentation
bin11010101110110…
…10001100101000
3120121221121000220
431113122030220
5424401143144
634130130040
75362004112
oct1527321450
9517847026
10224240424
1110563a171
1263120920
13375c3855
1421ad23b2
1514a46919
hexd5da328

224240424 has 64 divisors (see below), whose sum is σ = 584500800. Its totient is φ = 71622144.

The previous prime is 224240417. The next prime is 224240437. The reversal of 224240424 is 424042422.

224240424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 224240394 and 224240403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57612 + ... + 61380.

It is an arithmetic number, because the mean of its divisors is an integer number (9132825).

Almost surely, 2224240424 is an apocalyptic number.

224240424 is a gapful number since it is divisible by the number (24) 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 224240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292250400).

224240424 is an abundant number, since it is smaller than the sum of its proper divisors (360260376).

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

224240424 is a wasteful number, since it uses less digits than its factorization.

224240424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 224240424 is about 14974.6593951248. The cubic root of 224240424 is about 607.5349990844.

Adding to 224240424 its reverse (424042422), we get a palindrome (648282846).

The spelling of 224240424 in words is "two hundred twenty-four million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 67 74 111 134 148 201 222 268 296 402 444 536 804 888 1608 2479 3769 4958 7437 7538 9916 11307 14874 15076 19832 22614 29748 30152 45228 59496 90456 139453 252523 278906 418359 505046 557812 757569 836718 1010092 1115624 1515138 1673436 2020184 3030276 3346872 6060552 9343351 18686702 28030053 37373404 56060106 74746808 112120212 224240424