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224141424 = 24313418761
BaseRepresentation
bin11010101110000…
…10000001110000
3120121202120020020
431113002001300
5424340011144
634124043440
75361112353
oct1527020160
9517676206
10224141424
11105581851
1263093580
133758a780
1421aa829a
1514a27419
hexd5c2070

224141424 has 80 divisors (see below), whose sum is σ = 638854944. Its totient is φ = 67276800.

The previous prime is 224141419. The next prime is 224141431. The reversal of 224141424 is 424141422.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 224141394 and 224141403.

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 15 ways as a sum of consecutive naturals, for example, 21204 + ... + 29964.

Almost surely, 2224141424 is an apocalyptic number.

224141424 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 224141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319427472).

224141424 is an abundant number, since it is smaller than the sum of its proper divisors (414713520).

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

224141424 is a wasteful number, since it uses less digits than its factorization.

224141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826 (or 8820 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 224141424 is about 14971.3534458311. The cubic root of 224141424 is about 607.4455789622.

Adding to 224141424 its reverse (424141422), we get a palindrome (648282846).

The spelling of 224141424 in words is "two hundred twenty-four million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4264 6396 8528 8761 12792 17522 25584 26283 35044 52566 70088 105132 113893 140176 210264 227786 341679 359201 420528 455572 683358 718402 911144 1077603 1366716 1436804 1822288 2155206 2733432 2873608 4310412 4669613 5466864 5747216 8620824 9339226 14008839 17241648 18678452 28017678 37356904 56035356 74713808 112070712 224141424